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Mathematics 6 Online
OpenStudy (narissa):

please check

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

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

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

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: \(4a^2 - a^2 + b - b = 3a^2\)

OpenStudy (narissa):

3a^2 is my answer thanks !!

OpenStudy (vishweshshrimali5):

:D Great job! :)

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