Simplify.
-$\frac{y^{2}-2 y-35}{y^{2}+14 y+45}$
A) $-\frac{y^{2}-2 y-35}{y^{2}+14 y+45}$
B) $\frac{-2 y-35}{14 y+45}$
C) $\frac{-2 y+35}{14 y-14}$
D) $\frac{y-7}{y+9}$

Question

Quizplus · Accepted Answer

The expression simplifies by factoring both the numerator and the denominator. The numerator $y^2 - 2y - 35$ factors into $(y - 7)(y + 5)$ and the denominator $y^2 + 14y + 45$ factors into $(y + 9)(y + 5)$. The $(y + 5)$ term cancels out, leaving $\frac{y - 7}{y + 9}$.

Simplify - y2−2y−35y2+14y+45\frac{y^{2}-2 y-35}{y^{2}+14 y+45}y2+14y+45y2−2y−35​ A) −y2−2y−35y2+14y+45-\frac{y^{2}-2 y-35}{y^{2}+14 y+45}−y2+14y+45y2−2y−35​ B) −2y−3514y+45\frac{-2 y-35}{14 y+45}14y+45−2y−35​

Simplify
- $\frac{y^{2}-2 y-35}{y^{2}+14 y+45}$ A) $-\frac{y^{2}-2 y-35}{y^{2}+14 y+45}$ B) $\frac{-2 y-35}{14 y+45}$