Simplifying in Algebra [on hold]Simplifying a Vector IntegralSimplifying $frac1{gt}sqrt{g/2h},dx$ in free...
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Simplifying in Algebra [on hold]
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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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calculus
New contributor
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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.
add a comment |
$begingroup$
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
calculus
New contributor
$endgroup$
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?
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– 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
add a comment |
$begingroup$
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
calculus
New contributor
$endgroup$
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
calculus
New contributor
New contributor
edited yesterday
J. W. Tanner
2,9271217
2,9271217
New contributor
asked yesterday
BeginnerBeginner
1
1
New contributor
New contributor
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
add a comment |
$begingroup$
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
add a comment |
3 Answers
3
active
oldest
votes
$begingroup$
$1a+frac{1}{2}(b-a)$
$1a+frac{1}{2}b-frac{1}{2}a$ <-- 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
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$begingroup$
That's great explaination. thank you very much.
$endgroup$
– Beginner
yesterday
add a comment |
$begingroup$
What they did is the following without explicitly writing it.
$$a+frac{b-a}{2}$$
$$frac{2a}{2} + frac{b-a}{2}$$
$$frac{2a + b -a }{2}$$
$$frac{a+b}{2}$$
$endgroup$
add a comment |
$begingroup$
$$begin{align}&quad a+frac{1}{2}(b-a)\
&=a+frac{1}{2}b-frac{1}{2}aquadtext{(distributive law)}\
&=a-frac{1}{2}a+frac{1}{2}bquadtext{(commutative law)}\
&=frac{1}{2}a+frac{1}{2}bquad(a-frac{1}{2}a=a(1-frac{1}{2})=abig(frac{1}{2}big)=frac{1}{2}a)\
&=frac{1}{2}(a+b)quadtext{(distributive law)}end{align}$$
New contributor
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$begingroup$
In 3rd step why did we changed sign and in 4th step where is "a" gone
$endgroup$
– Beginner
yesterday
$begingroup$
Edited my answer.
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– hokoxixe
yesterday
add a comment |
3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
$1a+frac{1}{2}(b-a)$
$1a+frac{1}{2}b-frac{1}{2}a$ <-- 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
$endgroup$
$begingroup$
That's great explaination. thank you very much.
$endgroup$
– Beginner
yesterday
add a comment |
$begingroup$
$1a+frac{1}{2}(b-a)$
$1a+frac{1}{2}b-frac{1}{2}a$ <-- 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
$endgroup$
$begingroup$
That's great explaination. thank you very much.
$endgroup$
– Beginner
yesterday
add a comment |
$begingroup$
$1a+frac{1}{2}(b-a)$
$1a+frac{1}{2}b-frac{1}{2}a$ <-- 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
$endgroup$
$1a+frac{1}{2}(b-a)$
$1a+frac{1}{2}b-frac{1}{2}a$ <-- 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
answered yesterday
randomgirlrandomgirl
2,9241915
2,9241915
$begingroup$
That's great explaination. thank you very much.
$endgroup$
– Beginner
yesterday
add a comment |
$begingroup$
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
add a comment |
$begingroup$
What they did is the following without explicitly writing it.
$$a+frac{b-a}{2}$$
$$frac{2a}{2} + frac{b-a}{2}$$
$$frac{2a + b -a }{2}$$
$$frac{a+b}{2}$$
$endgroup$
add a comment |
$begingroup$
What they did is the following without explicitly writing it.
$$a+frac{b-a}{2}$$
$$frac{2a}{2} + frac{b-a}{2}$$
$$frac{2a + b -a }{2}$$
$$frac{a+b}{2}$$
$endgroup$
add a comment |
$begingroup$
What they did is the following without explicitly writing it.
$$a+frac{b-a}{2}$$
$$frac{2a}{2} + frac{b-a}{2}$$
$$frac{2a + b -a }{2}$$
$$frac{a+b}{2}$$
$endgroup$
What they did is the following without explicitly writing it.
$$a+frac{b-a}{2}$$
$$frac{2a}{2} + frac{b-a}{2}$$
$$frac{2a + b -a }{2}$$
$$frac{a+b}{2}$$
answered yesterday
Justin StevensonJustin Stevenson
844517
844517
add a comment |
add a comment |
$begingroup$
$$begin{align}&quad a+frac{1}{2}(b-a)\
&=a+frac{1}{2}b-frac{1}{2}aquadtext{(distributive law)}\
&=a-frac{1}{2}a+frac{1}{2}bquadtext{(commutative law)}\
&=frac{1}{2}a+frac{1}{2}bquad(a-frac{1}{2}a=a(1-frac{1}{2})=abig(frac{1}{2}big)=frac{1}{2}a)\
&=frac{1}{2}(a+b)quadtext{(distributive law)}end{align}$$
New contributor
$endgroup$
$begingroup$
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
add a comment |
$begingroup$
$$begin{align}&quad a+frac{1}{2}(b-a)\
&=a+frac{1}{2}b-frac{1}{2}aquadtext{(distributive law)}\
&=a-frac{1}{2}a+frac{1}{2}bquadtext{(commutative law)}\
&=frac{1}{2}a+frac{1}{2}bquad(a-frac{1}{2}a=a(1-frac{1}{2})=abig(frac{1}{2}big)=frac{1}{2}a)\
&=frac{1}{2}(a+b)quadtext{(distributive law)}end{align}$$
New contributor
$endgroup$
$begingroup$
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
add a comment |
$begingroup$
$$begin{align}&quad a+frac{1}{2}(b-a)\
&=a+frac{1}{2}b-frac{1}{2}aquadtext{(distributive law)}\
&=a-frac{1}{2}a+frac{1}{2}bquadtext{(commutative law)}\
&=frac{1}{2}a+frac{1}{2}bquad(a-frac{1}{2}a=a(1-frac{1}{2})=abig(frac{1}{2}big)=frac{1}{2}a)\
&=frac{1}{2}(a+b)quadtext{(distributive law)}end{align}$$
New contributor
$endgroup$
$$begin{align}&quad a+frac{1}{2}(b-a)\
&=a+frac{1}{2}b-frac{1}{2}aquadtext{(distributive law)}\
&=a-frac{1}{2}a+frac{1}{2}bquadtext{(commutative law)}\
&=frac{1}{2}a+frac{1}{2}bquad(a-frac{1}{2}a=a(1-frac{1}{2})=abig(frac{1}{2}big)=frac{1}{2}a)\
&=frac{1}{2}(a+b)quadtext{(distributive law)}end{align}$$
New contributor
edited yesterday
New contributor
answered yesterday
hokoxixehokoxixe
112
112
New contributor
New contributor
$begingroup$
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
add a comment |
$begingroup$
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
add a comment |
$begingroup$
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