Simplify the rational expression. (Assume the denominator is nonzero.)
-$$\frac { x ^ { 2 } - 5 x - 24 } { x ^ { 2 } + 12 x + 27 }$$
A) $\frac { - 5 x - 24 } { 12 x + 27 }$

B) $\frac { - 5 x + 24 } { 12 x - 12 }$

C) $\frac { x - 8 } { x + 9 }$

D) $- \frac { x ^ { 2 } - 5 x - 24 } { x ^ { 2 } + 12 x + 27 }$

Question

Simplify the rational expression. (Assume the denominator is nonzero.)
-$$\frac { x ^ { 2 } - 5 x - 24 } { x ^ { 2 } + 12 x + 27 }$$
A) $\frac { - 5 x - 24 } { 12 x + 27 }$

B) $\frac { - 5 x + 24 } { 12 x - 12 }$

C) $\frac { x - 8 } { x + 9 }$

D) $- \frac { x ^ { 2 } - 5 x - 24 } { x ^ { 2 } + 12 x + 27 }$

Quizplus · Accepted Answer

Factor both the numerator and denominator:
$$\frac{(x-8)(x+3)}{(x+3)(x+9)}$$
The $(x+3)$ terms cancel out, leaving:
$$\frac{x-8}{x+9}$$

Simplify the Rational Expression x2−5x−24x2+12x+27\frac { x ^ { 2 } - 5 x - 24 } { x ^ { 2 } + 12 x + 27 }x2+12x+27x2−5x−24​

Simplify the Rational Expression $\frac { x ^ { 2 } - 5 x - 24 } { x ^ { 2 } + 12 x + 27 }$