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OpenStudy (narissa):
OpenStudy (vishweshshrimali5):
@narissa you made some mistake... how did you solve it ?
OpenStudy (narissa):
e\[4a^2+-a^2=3^2 ~~~~ b+b=2b =3^2b-2b\]
OpenStudy (vishweshshrimali5):
umm looks like you have done some mistakes.. so let's start from beginning?
The question is:
\[(4a^2 + b) - (a^2 + b)\] right?
OpenStudy (narissa):
yes
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OpenStudy (vishweshshrimali5):
Great!
So, first we remove the brackets... for the first brackets.. i.e. \((4a^2 + b)\) there is no sign in front of the brackets that means there is a positive sign '+' so that's not going to affect the signs of \(4a^2\) or \(b\)..
So,
\((4a^2 + b) - (a^2 + b) = 4a^2 + b - (a^2 + b)\)
OpenStudy (vishweshshrimali5):
Any problem in this?
OpenStudy (narissa):
ok
OpenStudy (narissa):
we multiply by -1?
OpenStudy (vishweshshrimali5):
Great! Now, we remove the brackets from the second term.. but this time we have a negative sign '-' in front of brackets so we multiply every term inside the bracket with -1
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OpenStudy (narissa):
-1 x -1= 1 -1x1=-1
OpenStudy (vishweshshrimali5):
Great!
OpenStudy (vishweshshrimali5):
So, our question will become...
\(4a^2 + b -(a^2 + b) = 4a^2 +b - a^2 - b\)
OpenStudy (vishweshshrimali5):
Any doubt?
OpenStudy (narissa):
no
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OpenStudy (vishweshshrimali5):
Nice :) So, we have:
\(4a^2 + b - a^2 -b \)
I bring \(a^2\) terms close to each other and \(b\) terms close...
So,
\(4a^2 -a^2 + b - b\)
OpenStudy (narissa):
4-1=3 1-1=1
OpenStudy (vishweshshrimali5):
Naah.. 1 - 1 is 0..
OpenStudy (narissa):
oh yea duhhh
OpenStudy (vishweshshrimali5):
So, we get:
\(4a^2 - a^2 + b - b = 3a^2\)
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