Write the expression as a single term, factored completely. Do not rationalize the denominator.
-$\frac { \frac { 19 x ^ { 2 } } { \sqrt { 19 x ^ { 2 } + 7 } } - \sqrt { 19 x ^ { 2 } + 7 } } { 19 x ^ { 2 } }$
A) $\frac { 7 } { 19 x ^ { 2 } \sqrt { 19 x ^ { 2 } + 7 } }$
B) $- \frac { 7 } { 19 x ^ { 2 } \sqrt { 19 x ^ { 2 } + 7 } }$
C) $\frac { 133 x ^ { 2 } } { \sqrt { 19 x ^ { 2 } + 7 } }$
D) $- \frac { 133 x ^ { 2 } } { \sqrt { 19 x ^ { 2 } + 7 } }$

Question

Quizplus · Accepted Answer

To simplify the given expression, factor out a common term from the numerator and then simplify the fraction. The correct simplification leads to the expression being negative and having the denominator factored correctly as in choice B.

Write the Expression as a Single Term, Factored Completely 19x219x2+7−19x2+719x2\frac { \frac { 19 x ^ { 2 } } { \sqrt { 19 x ^ { 2 } + 7 } } - \sqrt { 19 x ^ { 2 } + 7 } } { 19 x ^ { 2 } }19x219x2+7​19x2​−19x2+7​​

Write the Expression as a Single Term, Factored Completely $\frac { \frac { 19 x ^ { 2 } } { \sqrt { 19 x ^ { 2 } + 7 } } - \sqrt { 19 x ^ { 2 } + 7 } } { 19 x ^ { 2 } }$