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

Question

Quizplus · Accepted Answer

The given expression can be simplified by factoring both the numerator and the denominator. The numerator is already factored as $2(x + 1)$. The denominator can be factored as $2(3x^2 + 8x + 5)$, and further factoring the quadratic gives $2(3x + 5)(x + 1)$. Simplifying, we get $\frac{2(x + 1)}{2(3x + 5)(x + 1)}$, which simplifies to $\frac{1}{3x + 5}$, making option D correct.

Simplify - 2x+26x2+16x+10\frac { 2 x + 2 } { 6 x ^ { 2 } + 16 x + 10 }6x2+16x+102x+2​

Simplify
- $\frac { 2 x + 2 } { 6 x ^ { 2 } + 16 x + 10 }$