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

Answer 1

These are the choices:

a. 2y plus 3 over y plus 1, with the restriction y ≠ 3 over 2 and y ≠ –1

b. 2y minus 3 over y minus 1, with the restriction y ≠ –3 over 2 and y ≠ 1

c. 2y plus 3 over y plus 1 , with the restrictions y ≠ 3 over 2 and y ≠ 1

d. 2y minus 3 over y minus 1 , with the restrictions y ≠ –3 over 2 and y ≠ –1

Sooo from what just wrote down it's be b... I think?

Answer 2

oops its

\[\frac{4y^2 - 9}{2y^2 +y - 3}\]

factorise the numerator and denominator

\[\frac{(2y -3)(2y + 3)}{(2y + 3 )(y -1)}\]

eliminate the common factor

\[\frac{2y -3}{y - 1}\]

the restictions are y cannot equal 3/2 or 1

Answer 3

<--- like that?