Simplify the rational expression. If the rational expression cannot be simplified, so state.
-$$\frac { y ^ { 2 } + 5 y - 24 } { y ^ { 2 } + 3 y - 40 }$$
A) $\frac { 5 y - 3 } { 3 y - 5 }$
B) Cannot be simplified
C) $\frac { 5 y - 24 } { 3 y - 40 }$
D) $\frac { y - 3 } { y - 5 }$

Question

Quizplus · Accepted Answer

First, factor both the numerator and the denominator. The numerator $y^2 + 5y - 24$ factors into $(y + 8)(y - 3)$ and the denominator $y^2 + 3y - 40$ factors into $(y + 8)(y - 5)$. After canceling the common factor $(y + 8)$, the simplified form is $\frac{y - 3}{y - 5}$, which matches option D.

Simplify the Rational Expression y2+5y−24y2+3y−40\frac { y ^ { 2 } + 5 y - 24 } { y ^ { 2 } + 3 y - 40 }y2+3y−40y2+5y−24​

Simplify the Rational Expression $\frac { y ^ { 2 } + 5 y - 24 } { y ^ { 2 } + 3 y - 40 }$