Question

Help me simplify this

Answer 1

\[\frac{36x^2\left(3x+y\right)\left(3x+y\right)-\left(3x-y\right)\left(3x-y\right)}{\left(3x+y\right)\left(3x-y\right)}\]

Answer 2

@SolomonZelman @mathstudent55 @ganeshie8

Answer 3

\[\frac{36x^2\left(3x+y\right)\color{red}{\cancel{\left(3x+y\right)}}-\left(3x-y\right)\color{red}{\cancel{\left(3x-y\right)}}}{\color{red}{\cancel{\left(3x+y\right)}\cancel{\left(3x-y\right)}}}\]

Answer 4

\[36x^2(3x+y)-(3x-y)\]

Answer 5

crap that means I did something wrong..

Answer 6

hm? you can't do that

Answer 7

can't cross out both 3x+y and 3x-y on top, can't factor it out.
there's a minus sign in the middle.

Answer 8

yeh ur right you cant lol

Answer 9

\[\frac{36x^2(3x+y)^2-(3x-y)^2}{(3x+y)(3x-y)}=\frac{36x(3x+y)^2}{(3x+y)(3x-y)}-\frac{(3x-y)^2}{(3x+y)(3x-y)}\]
\[36x(3x+y)(3x-y)^{-1}-(3x-y)(3x+y)^{-1}\]

Answer 10

didn't catch the - sign the 1st time, just copied and slashed stuff lol

Answer 11

thanks but that wasnt the original question, that was what I did the simplify..

Answer 12

I don't follow, you asked to simplify that--I did it wrong the 1st time, that second time is better--but it might be able to be reduced a bit more, but i dont think so

Answer 13

no this was the original question

Answer 14

\[\frac{36x^2}{9x^2-y^2}+\frac{3x+y}{3x-y}-\frac{3x-y}{3x+y}\]

Answer 15

then yes your simplification was correct :) @HELP!!!!

Answer 16

but, on the denominator, it would be 36x^2 + 3x+y)^2 + (3x-y)^2

Answer 17

but this is the answer...

Answer 18

\[\frac{12x}{\left(3x-y\right)}\]

Answer 19

have you considered distribute the fraction on top?

Answer 20

and noticed it's not 36x^2(3x+y)
it's 36x^2 + (3x+y)^2

Answer 21

\[\large \frac{ 36x^2 + (3x+y)^2 - (3x-y)^2 }{ (3x+y)(3x-y) }\]

\[\large \frac{ 36x^2 + (3x^2 +6xy +y^2) - (3x^2 -6xy+y^2) }{ (3x+y)(3x-y) }\]
distribute out this negative sign.

\[\large \frac{ 36x^2 + 3x^2 +6xy +y^2 - 3x^2 +6xy-y^2 }{ (3x+y)(3x-y) }\]
\[\large \frac{ 36x^2 +12xy }{ (3x+y)(3x-y) }\]
\[\large \frac{ 12x(3x+y) }{ (3x+y)(3x-y) }\]
\[\large \frac{ 12 }{ (3x-y) }\]

Answer 22

OHHH MY GOD, I GOTCHA

Answer 23

Thank you SOO MUCH!!!

Answer 24

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