Simplify.
-$\frac{y^{2}+3 y-18}{y^{2}+12 y+36}$
A) $\frac{3 y-18}{12 y+36}$
B) $-\frac{y^{2}+3 y-18}{y^{2}+12 y+36}$
C) $\frac{y-3}{y+6}$
D) $\frac{3 y+18}{12 y-12}$

Question

Quizplus · Accepted Answer

The numerator $y^{2}+3y-18$ can be factored into $(y-3)(y+6)$, and the denominator $y^{2}+12y+36$ can be factored into $(y+6)^2$. Simplifying, we cancel out a $(y+6)$ from both the numerator and the denominator, leaving us with $\frac{y-3}{y+6}$.

Simplify - y2+3y−18y2+12y+36\frac{y^{2}+3 y-18}{y^{2}+12 y+36}y2+12y+36y2+3y−18​ A) 3y−1812y+36\frac{3 y-18}{12 y+36}12y+363y−18​ B) −y2+3y−18y2+12y+36-\frac{y^{2}+3 y-18}{y^{2}+12 y+36}−y2+12y+36y2+3y−18​

Simplify
- $\frac{y^{2}+3 y-18}{y^{2}+12 y+36}$ A) $\frac{3 y-18}{12 y+36}$ B) $-\frac{y^{2}+3 y-18}{y^{2}+12 y+36}$