Simplify the fraction. $$\frac { 7 x - 49 } { x ^ { 2 } - 49 }$$
Assume that the denominator is not 0 .
A) $\frac { 1 } { x - 1 }$
B) $\frac { 7 } { x + 7 }$
C) $\frac { x } { x + 7 }$
D) $\frac { x } { x - 7 }$
E) $\frac { 7 } { x - 7 }$
F) $\frac { 1 } { x + 1 }$

Question

Quizplus · Accepted Answer

The numerator $7x - 49$ can be factored as $7(x - 7)$, and the denominator $x^2 - 49$ can be factored as $(x + 7)(x - 7)$ using the difference of squares formula. Simplifying, we get $\frac{7}{x + 7}$.

Simplify the Fraction 7x−49x2−49\frac { 7 x - 49 } { x ^ { 2 } - 49 }x2−497x−49​

Simplify the Fraction $\frac { 7 x - 49 } { x ^ { 2 } - 49 }$