Simplify the rational expression.
-$\frac { x ^ { 2 } + 8 x + 16 } { x ^ { 2 } + 12 x + 32 }$
A) $\frac { 8 x + 1 } { 12 x + 2 }$
B)128x x ++ 16 32
C)x x ++ 4 8
D)- xx22++ 12 8x x ++ 16 32

Question

Quizplus · Accepted Answer

The expression can be simplified by factoring both the numerator and the denominator. The numerator $x^2 + 8x + 16$ can be factored as $(x + 4)^2$ and the denominator $x^2 + 12x + 32$ can be factored as $(x + 4)(x + 8)$. Simplifying, we get $\frac{x + 4}{x + 8}$, which matches choice C.

Simplify the Rational Expression x2+8x+16x2+12x+32\frac { x ^ { 2 } + 8 x + 16 } { x ^ { 2 } + 12 x + 32 }x2+12x+32x2+8x+16​

Simplify the Rational Expression $\frac { x ^ { 2 } + 8 x + 16 } { x ^ { 2 } + 12 x + 32 }$