Question

Which of the following is the simplified form of the quantity 4 y squared minus 1 over the quantity 2 y squared plus 3 y minus 2 ?

2y minus 1 over y minus 2 , with the restrictions y ≠ –1 over 2 and y ≠ –2

2y plus 1 over y plus 2 , with the restrictions y ≠ 1 over 2 and y ≠ 2

2y minus 1 over y minus 2, with the restriction y ≠ –1 over 2 and y ≠ 2

2y plus 1 over y plus 2, with the restriction y ≠ 1 over 2 and y ≠ –2

Answer 1

\[\frac{ 4y^2-1 }{ 2y^2+3y-2 }\]

Answer 2

Doesn't look that bad >.>
Do you know how factor using the difference of perfect squares?

Answer 3

No?...

Answer 4

a^2-b^2=(a+b)(a-b)

Answer 5

Oh god, I'll be back. My head hurts.

Answer 6

Sorry :/

Answer 7

it is okay.

Answer 8

I hope you feel better!

Answer 9

Here I'll do the first part for you:
\[\frac{ 4y^2-1 }{ 2y^2+3y-2 }=\frac{ (2y-1)(2y+1) }{ (2y-1)(y+2) }\]