Question

Which of the following is the simplified form of the quantity 4 y squared minus 9 over the quantity 2 y squared plus y minus 3 ?
and the restrictions

Answer 1

\[4y^2 \over 2y^2+y-3\]

What are the options?

Answer 2

(4y2 -9) / (2y2 + y -3)...

some thing like this ???

Answer 3

2y2 + y -3
2y2 + 3y - 2y -3
y (2y + 3) -1 (2y + 3)

(2y +3) (y-1)


(4y2 -9) = ((2y)square - (3) square)
(2y -3) (2y + 3)

so, (2y -3) (2y + 3) / (2y +3) (y-1)

= (2y + 3) / (y-1)

is the answer...