Add.
-$$\frac { 7 x } { x + 5 } + \frac { 2 } { x - 5 }$$
A) $\frac { 7 x ^ { 2 } - 33 x + 10 } { x ^ { 2 } - 25 }$
B) $\frac { 7 x ^ { 2 } - 33 x + 10 } { x ^ { 2 } + 10 x + 25 }$
C) $\frac { 7 x + 2 } { ( x + 5 ) ( x - 5 ) }$
D) $\frac { 7 x ^ { 2 } - 33 x + 10 } { x ^ { 2 } - 10 x + 25 }$

Question

Quizplus · Accepted Answer

To add the fractions, find a common denominator, which is $(x+5)(x-5) = x^2 - 25$. Then, combine the numerators: $\frac{7x(x-5) + 2(x+5)}{x^2 - 25}$, simplifying to $\frac{7x^2 - 35x + 2x + 10}{x^2 - 25}$, which further simplifies to $\frac{7x^2 - 33x + 10}{x^2 - 25}$.

Add - 7xx+5+2x−5\frac { 7 x } { x + 5 } + \frac { 2 } { x - 5 }x+57x​+x−52​

Add
- $\frac { 7 x } { x + 5 } + \frac { 2 } { x - 5 }$