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Simplifying in Algebra [on hold]


Simplifying a Vector IntegralSimplifying $frac1{gt}sqrt{g/2h},dx$ in free fall equationsFind the limit, if the limit exists: $lim_{xto−infty} sqrt{ 4x^6 − x}/( x^3 + 2)$What integral does the Riemann sum $frac{1}{30}sum_{k=1}^{60}e^{k/30}$ approximate?How to find the area for the curve $y=sin^3(2x)cos^3(2x)$?Solving integral without simplifying equationHow to simplify from this thing to this (double derivative, stuck in the alegba part)solving minimum through derivativesSimplifying Difference Quotienthow does an integral becoming negative effect limits of integration?













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can someone tell me how this equation is simplified? i am unable to understand how the negative sign b - a is changed and why a which is out is removed.



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put on hold as off-topic by Scientifica, Dietrich Burde, YiFan, John Omielan, José Carlos Santos yesterday


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Scientifica, Dietrich Burde, YiFan, John Omielan, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.
















  • $begingroup$
    Are you familiar with the distributive property?
    $endgroup$
    – randomgirl
    yesterday










  • $begingroup$
    No, actually I am learning mathematics by self study. let search it.
    $endgroup$
    – Beginner
    yesterday










  • $begingroup$
    Please don't use pictures.
    $endgroup$
    – Dietrich Burde
    yesterday
















0












$begingroup$


can someone tell me how this equation is simplified? i am unable to understand how the negative sign b - a is changed and why a which is out is removed.



View Screenshot










share|cite|improve this question









New contributor




Beginner is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$



put on hold as off-topic by Scientifica, Dietrich Burde, YiFan, John Omielan, José Carlos Santos yesterday


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Scientifica, Dietrich Burde, YiFan, John Omielan, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.
















  • $begingroup$
    Are you familiar with the distributive property?
    $endgroup$
    – randomgirl
    yesterday










  • $begingroup$
    No, actually I am learning mathematics by self study. let search it.
    $endgroup$
    – Beginner
    yesterday










  • $begingroup$
    Please don't use pictures.
    $endgroup$
    – Dietrich Burde
    yesterday














0












0








0





$begingroup$


can someone tell me how this equation is simplified? i am unable to understand how the negative sign b - a is changed and why a which is out is removed.



View Screenshot










share|cite|improve this question









New contributor




Beginner is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




can someone tell me how this equation is simplified? i am unable to understand how the negative sign b - a is changed and why a which is out is removed.



View Screenshot







calculus






share|cite|improve this question









New contributor




Beginner is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




Beginner is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited yesterday









J. W. Tanner

2,9171217




2,9171217






New contributor




Beginner is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked yesterday









BeginnerBeginner

1




1




New contributor




Beginner is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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New contributor





Beginner is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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Beginner is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




put on hold as off-topic by Scientifica, Dietrich Burde, YiFan, John Omielan, José Carlos Santos yesterday


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Scientifica, Dietrich Burde, YiFan, John Omielan, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.







put on hold as off-topic by Scientifica, Dietrich Burde, YiFan, John Omielan, José Carlos Santos yesterday


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Scientifica, Dietrich Burde, YiFan, John Omielan, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.












  • $begingroup$
    Are you familiar with the distributive property?
    $endgroup$
    – randomgirl
    yesterday










  • $begingroup$
    No, actually I am learning mathematics by self study. let search it.
    $endgroup$
    – Beginner
    yesterday










  • $begingroup$
    Please don't use pictures.
    $endgroup$
    – Dietrich Burde
    yesterday


















  • $begingroup$
    Are you familiar with the distributive property?
    $endgroup$
    – randomgirl
    yesterday










  • $begingroup$
    No, actually I am learning mathematics by self study. let search it.
    $endgroup$
    – Beginner
    yesterday










  • $begingroup$
    Please don't use pictures.
    $endgroup$
    – Dietrich Burde
    yesterday
















$begingroup$
Are you familiar with the distributive property?
$endgroup$
– randomgirl
yesterday




$begingroup$
Are you familiar with the distributive property?
$endgroup$
– randomgirl
yesterday












$begingroup$
No, actually I am learning mathematics by self study. let search it.
$endgroup$
– Beginner
yesterday




$begingroup$
No, actually I am learning mathematics by self study. let search it.
$endgroup$
– Beginner
yesterday












$begingroup$
Please don't use pictures.
$endgroup$
– Dietrich Burde
yesterday




$begingroup$
Please don't use pictures.
$endgroup$
– Dietrich Burde
yesterday










3 Answers
3






active

oldest

votes


















1












$begingroup$

$1a+frac{1}{2}(b-a)$



$1a+frac{1}{2}b-frac{1}{2}a$ <-- distributive property to multiply



$1a-frac{1}{2}a+frac{1}{2}b$ <-- commutative property



$(1-frac{1}{2})a+frac{1}{2}b$ <-- distributive property to factor



$frac{1}{2}a+frac{1}{2}b$ <-- did 1-1/2



$frac{1}{2}(a+b)$ <-- distributive property to factor






share|cite|improve this answer









$endgroup$













  • $begingroup$
    That's great explaination. thank you very much.
    $endgroup$
    – Beginner
    yesterday



















0












$begingroup$

What they did is the following without explicitly writing it.
$$a+frac{b-a}{2}$$
$$frac{2a}{2} + frac{b-a}{2}$$
$$frac{2a + b -a }{2}$$
$$frac{a+b}{2}$$






share|cite|improve this answer









$endgroup$





















    0












    $begingroup$

    $$begin{align}&quad a+frac{1}{2}(b-a)\
    &=a+frac{1}{2}b-frac{1}{2}aquadtext{(distributive law)}\
    &=a-frac{1}{2}a+frac{1}{2}bquadtext{(commutative law)}\
    &=frac{1}{2}a+frac{1}{2}bquad(a-frac{1}{2}a=a(1-frac{1}{2})=abig(frac{1}{2}big)=frac{1}{2}a)\
    &=frac{1}{2}(a+b)quadtext{(distributive law)}end{align}$$






    share|cite|improve this answer










    New contributor




    hokoxixe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






    $endgroup$













    • $begingroup$
      In 3rd step why did we changed sign and in 4th step where is "a" gone
      $endgroup$
      – Beginner
      yesterday










    • $begingroup$
      Edited my answer.
      $endgroup$
      – hokoxixe
      yesterday


















    3 Answers
    3






    active

    oldest

    votes








    3 Answers
    3






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    1












    $begingroup$

    $1a+frac{1}{2}(b-a)$



    $1a+frac{1}{2}b-frac{1}{2}a$ <-- distributive property to multiply



    $1a-frac{1}{2}a+frac{1}{2}b$ <-- commutative property



    $(1-frac{1}{2})a+frac{1}{2}b$ <-- distributive property to factor



    $frac{1}{2}a+frac{1}{2}b$ <-- did 1-1/2



    $frac{1}{2}(a+b)$ <-- distributive property to factor






    share|cite|improve this answer









    $endgroup$













    • $begingroup$
      That's great explaination. thank you very much.
      $endgroup$
      – Beginner
      yesterday
















    1












    $begingroup$

    $1a+frac{1}{2}(b-a)$



    $1a+frac{1}{2}b-frac{1}{2}a$ <-- distributive property to multiply



    $1a-frac{1}{2}a+frac{1}{2}b$ <-- commutative property



    $(1-frac{1}{2})a+frac{1}{2}b$ <-- distributive property to factor



    $frac{1}{2}a+frac{1}{2}b$ <-- did 1-1/2



    $frac{1}{2}(a+b)$ <-- distributive property to factor






    share|cite|improve this answer









    $endgroup$













    • $begingroup$
      That's great explaination. thank you very much.
      $endgroup$
      – Beginner
      yesterday














    1












    1








    1





    $begingroup$

    $1a+frac{1}{2}(b-a)$



    $1a+frac{1}{2}b-frac{1}{2}a$ <-- distributive property to multiply



    $1a-frac{1}{2}a+frac{1}{2}b$ <-- commutative property



    $(1-frac{1}{2})a+frac{1}{2}b$ <-- distributive property to factor



    $frac{1}{2}a+frac{1}{2}b$ <-- did 1-1/2



    $frac{1}{2}(a+b)$ <-- distributive property to factor






    share|cite|improve this answer









    $endgroup$



    $1a+frac{1}{2}(b-a)$



    $1a+frac{1}{2}b-frac{1}{2}a$ <-- distributive property to multiply



    $1a-frac{1}{2}a+frac{1}{2}b$ <-- commutative property



    $(1-frac{1}{2})a+frac{1}{2}b$ <-- distributive property to factor



    $frac{1}{2}a+frac{1}{2}b$ <-- did 1-1/2



    $frac{1}{2}(a+b)$ <-- distributive property to factor







    share|cite|improve this answer












    share|cite|improve this answer



    share|cite|improve this answer










    answered yesterday









    randomgirlrandomgirl

    2,9241915




    2,9241915












    • $begingroup$
      That's great explaination. thank you very much.
      $endgroup$
      – Beginner
      yesterday


















    • $begingroup$
      That's great explaination. thank you very much.
      $endgroup$
      – Beginner
      yesterday
















    $begingroup$
    That's great explaination. thank you very much.
    $endgroup$
    – Beginner
    yesterday




    $begingroup$
    That's great explaination. thank you very much.
    $endgroup$
    – Beginner
    yesterday











    0












    $begingroup$

    What they did is the following without explicitly writing it.
    $$a+frac{b-a}{2}$$
    $$frac{2a}{2} + frac{b-a}{2}$$
    $$frac{2a + b -a }{2}$$
    $$frac{a+b}{2}$$






    share|cite|improve this answer









    $endgroup$


















      0












      $begingroup$

      What they did is the following without explicitly writing it.
      $$a+frac{b-a}{2}$$
      $$frac{2a}{2} + frac{b-a}{2}$$
      $$frac{2a + b -a }{2}$$
      $$frac{a+b}{2}$$






      share|cite|improve this answer









      $endgroup$
















        0












        0








        0





        $begingroup$

        What they did is the following without explicitly writing it.
        $$a+frac{b-a}{2}$$
        $$frac{2a}{2} + frac{b-a}{2}$$
        $$frac{2a + b -a }{2}$$
        $$frac{a+b}{2}$$






        share|cite|improve this answer









        $endgroup$



        What they did is the following without explicitly writing it.
        $$a+frac{b-a}{2}$$
        $$frac{2a}{2} + frac{b-a}{2}$$
        $$frac{2a + b -a }{2}$$
        $$frac{a+b}{2}$$







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered yesterday









        Justin StevensonJustin Stevenson

        844517




        844517























            0












            $begingroup$

            $$begin{align}&quad a+frac{1}{2}(b-a)\
            &=a+frac{1}{2}b-frac{1}{2}aquadtext{(distributive law)}\
            &=a-frac{1}{2}a+frac{1}{2}bquadtext{(commutative law)}\
            &=frac{1}{2}a+frac{1}{2}bquad(a-frac{1}{2}a=a(1-frac{1}{2})=abig(frac{1}{2}big)=frac{1}{2}a)\
            &=frac{1}{2}(a+b)quadtext{(distributive law)}end{align}$$






            share|cite|improve this answer










            New contributor




            hokoxixe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.






            $endgroup$













            • $begingroup$
              In 3rd step why did we changed sign and in 4th step where is "a" gone
              $endgroup$
              – Beginner
              yesterday










            • $begingroup$
              Edited my answer.
              $endgroup$
              – hokoxixe
              yesterday
















            0












            $begingroup$

            $$begin{align}&quad a+frac{1}{2}(b-a)\
            &=a+frac{1}{2}b-frac{1}{2}aquadtext{(distributive law)}\
            &=a-frac{1}{2}a+frac{1}{2}bquadtext{(commutative law)}\
            &=frac{1}{2}a+frac{1}{2}bquad(a-frac{1}{2}a=a(1-frac{1}{2})=abig(frac{1}{2}big)=frac{1}{2}a)\
            &=frac{1}{2}(a+b)quadtext{(distributive law)}end{align}$$






            share|cite|improve this answer










            New contributor




            hokoxixe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.






            $endgroup$













            • $begingroup$
              In 3rd step why did we changed sign and in 4th step where is "a" gone
              $endgroup$
              – Beginner
              yesterday










            • $begingroup$
              Edited my answer.
              $endgroup$
              – hokoxixe
              yesterday














            0












            0








            0





            $begingroup$

            $$begin{align}&quad a+frac{1}{2}(b-a)\
            &=a+frac{1}{2}b-frac{1}{2}aquadtext{(distributive law)}\
            &=a-frac{1}{2}a+frac{1}{2}bquadtext{(commutative law)}\
            &=frac{1}{2}a+frac{1}{2}bquad(a-frac{1}{2}a=a(1-frac{1}{2})=abig(frac{1}{2}big)=frac{1}{2}a)\
            &=frac{1}{2}(a+b)quadtext{(distributive law)}end{align}$$






            share|cite|improve this answer










            New contributor




            hokoxixe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.






            $endgroup$



            $$begin{align}&quad a+frac{1}{2}(b-a)\
            &=a+frac{1}{2}b-frac{1}{2}aquadtext{(distributive law)}\
            &=a-frac{1}{2}a+frac{1}{2}bquadtext{(commutative law)}\
            &=frac{1}{2}a+frac{1}{2}bquad(a-frac{1}{2}a=a(1-frac{1}{2})=abig(frac{1}{2}big)=frac{1}{2}a)\
            &=frac{1}{2}(a+b)quadtext{(distributive law)}end{align}$$







            share|cite|improve this answer










            New contributor




            hokoxixe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.









            share|cite|improve this answer



            share|cite|improve this answer








            edited yesterday





















            New contributor




            hokoxixe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.









            answered yesterday









            hokoxixehokoxixe

            112




            112




            New contributor




            hokoxixe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.





            New contributor





            hokoxixe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.






            hokoxixe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.












            • $begingroup$
              In 3rd step why did we changed sign and in 4th step where is "a" gone
              $endgroup$
              – Beginner
              yesterday










            • $begingroup$
              Edited my answer.
              $endgroup$
              – hokoxixe
              yesterday


















            • $begingroup$
              In 3rd step why did we changed sign and in 4th step where is "a" gone
              $endgroup$
              – Beginner
              yesterday










            • $begingroup$
              Edited my answer.
              $endgroup$
              – hokoxixe
              yesterday
















            $begingroup$
            In 3rd step why did we changed sign and in 4th step where is "a" gone
            $endgroup$
            – Beginner
            yesterday




            $begingroup$
            In 3rd step why did we changed sign and in 4th step where is "a" gone
            $endgroup$
            – Beginner
            yesterday












            $begingroup$
            Edited my answer.
            $endgroup$
            – hokoxixe
            yesterday




            $begingroup$
            Edited my answer.
            $endgroup$
            – hokoxixe
            yesterday



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