Simplify.
-$\frac { \frac { 3 } { x } + 7 } { \frac { 9 } { x ^ { 2 } } - 49 }$
A) $\frac { x } { 3 - 7 x }$
B) $\frac { x } { 3 x - 7 }$
C) $\frac { 1 } { 3 x - 7 }$
D) $\frac { 1 } { 3 - 7 x }$

Question

Quizplus · Accepted Answer

To simplify the given expression, factor out common terms and simplify step by step. The numerator can be written as $\frac{3+x\cdot7}{x}$ and the denominator as $\frac{9-49x^2}{x^2}$. Factoring the denominator further gives $\frac{(3-7x)(3+7x)}{x^2}$. Simplifying the entire expression, we get $\frac{x}{3-7x}$, which matches choice A.

Simplify - 3x+79x2−49\frac { \frac { 3 } { x } + 7 } { \frac { 9 } { x ^ { 2 } } - 49 }x29​−49x3​+7​

Simplify
- $\frac { \frac { 3 } { x } + 7 } { \frac { 9 } { x ^ { 2 } } - 49 }$