Simplify the rational expression.
-$$\frac { 2 x + 2 } { 10 x ^ { 2 } + 16 x + 6 }$$
A) $\frac { 2 x + 5 } { 5 x + 16 }$
B) $\frac { 1 } { 5 x + 3 }$
C) $\frac { 2 x + 2 } { 10 x ^ { 2 } + 16 x + 6 }$
D) $\frac { 2 x } { 5 x + 3 }$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor in the numerator and the denominator. The numerator can be factored as $2(x + 1)$. The denominator can be factored as $2(5x^2 + 8x + 3)$, and further factoring the quadratic gives $2(5x + 3)(x + 1)$. Simplifying, we get $\frac{2(x + 1)}{2(5x + 3)(x + 1)}$, and after canceling out $2$ and $(x + 1)$, we are left with $\frac{1}{5x + 3}$.

Simplify the Rational Expression 2x+210x2+16x+6\frac { 2 x + 2 } { 10 x ^ { 2 } + 16 x + 6 }10x2+16x+62x+2​

Simplify the Rational Expression $\frac { 2 x + 2 } { 10 x ^ { 2 } + 16 x + 6 }$