Simplify.
-$\frac { 4 x + 2 } { 20 x ^ { 2 } + 18 x + 4 }$
A) $\frac { 4 x + 5 } { 5 x + 18 }$
B) $\frac { 1 } { 5 x + 2 }$
C) $\frac { 4 x } { 5 x + 2 }$
D) $\frac { 4 x + 2 } { 20 x ^ { 2 } + 18 x + 4 }$

Question

Quizplus · Accepted Answer

We can simplify the numerator and denominator by factoring out a common factor of 2: $$\frac{2(2x+1)}{2(10x^2+9x+2)}=\frac{2x+1}{10x^2+9x+2}$$ Then, we can factor the denominator into two binomials: $$10x^2+9x+2=(5x+2)(2x+1)$$ Plugging this back into the fraction, we get: $$\frac{2x+1}{(5x+2)(2x+1)}=\boxed{\frac{1}{5x+2}}$$

Simplify - 4x+220x2+18x+4\frac { 4 x + 2 } { 20 x ^ { 2 } + 18 x + 4 }20x2+18x+44x+2​

Simplify
- $\frac { 4 x + 2 } { 20 x ^ { 2 } + 18 x + 4 }$