What is the simplified form of the quantity y squared plus 7y plus 12 over the quantity y squared minus 3y minus 18?

y minus 4 over y minus 6

y minus 4 over y plus 6

y plus 4 over y minus 6

y plus 4 over y plus 6

The correct option is C

Step-by-step explanation:

The given expression is:

=y²+7y+12/y²-3y-18

Break the middle term of both the numerator and denominator:

=y²+4y+3y+12/y²-6y+3y-18

Take the common from the expressions:

=y (y+4) + 3 (y+4) / y (y-6) + 3 (y-6)

= (y+3) (y+4) / (y+3) (y-6)

The same terms will be cancelled: Then we have,

= (y+4) / (y-6)

Therefore the correct option is C ...