Simplify the rational expression.
-$$\frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 14 x + 48 }$$
A) $- \frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 14 x + 48 }$
B) $\frac { 10 x + 1 } { 14 x + 2 }$
C) $\frac { 10 x + 24 } { 14 x + 48 }$
D) $\frac { x + 4 } { x + 8 }$

Question

Quizplus · Accepted Answer

To simplify the given expression, factor both the numerator and the denominator. The numerator $x^2 + 10x + 24$ factors into $(x + 4)(x + 6)$, and the denominator $x^2 + 14x + 48$ factors into $(x + 6)(x + 8)$. Canceling the common factor $(x + 6)$ gives $\frac{x + 4}{x + 8}$.

Simplify the Rational Expression x2+10x+24x2+14x+48\frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 14 x + 48 }x2+14x+48x2+10x+24​

Simplify the Rational Expression $\frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 14 x + 48 }$