Write the expression as a single term, factored completely. Do not rationalize the denominator.
-$$5 \sqrt { 4 x ^ { 2 } + 1 } + \frac { 20 x } { \sqrt { 4 x ^ { 2 } + 1 } }$$
A) $\frac { 5 \left( 4 x ^ { 2 } + 4 x + 1 \right) } { \sqrt { 4 x ^ { 2 } + 1 } }$
B) $\frac { 20 x ^ { 2 } + 20 x + 1 } { 5 x + 1 }$
C) $\frac { 20 x ^ { 2 } + 20 x + 1 } { \sqrt { 4 x ^ { 2 } + 1 } }$
D) $\frac { 5 \left( 4 x ^ { 2 } + 4 x + 1 \right) } { 5 x + 1 }$

Question

Quizplus · Accepted Answer

The expression can be written as a single term by finding a common denominator, which is $\sqrt{4x^2 + 1}$. Factoring out the 5 from both terms in the numerator gives $5(4x^2 + 4x + 1)$ over the common denominator.

Write the Expression as a Single Term, Factored Completely 54x2+1+20x4x2+15 \sqrt { 4 x ^ { 2 } + 1 } + \frac { 20 x } { \sqrt { 4 x ^ { 2 } + 1 } }54x2+1​+4x2+1​20x​

Write the Expression as a Single Term, Factored Completely $5 \sqrt { 4 x ^ { 2 } + 1 } + \frac { 20 x } { \sqrt { 4 x ^ { 2 } + 1 } }$