Simplify the rational expression. (Assume the denominator is nonzero.)
-$\frac{x^{2}-49}{(x+7)^{2}}$

A) $\frac{x+7}{x-7}$

B) $x-7$

C) $\frac{x^{2}-49}{(x+7)^{2}}$

D) $\frac{x-7}{x+7}$

Question

Simplify the rational expression. (Assume the denominator is nonzero.)
-$\frac{x^{2}-49}{(x+7)^{2}}$

A) $\frac{x+7}{x-7}$

B) $x-7$

C) $\frac{x^{2}-49}{(x+7)^{2}}$

D) $\frac{x-7}{x+7}$

Quizplus · Accepted Answer

The expression $\frac{x^{2}-49}{(x+7)^{2}}$ simplifies to $\frac{(x+7)(x-7)}{(x+7)^{2}}$, which further simplifies to $\frac{x-7}{x+7}$ after canceling out one (x+7) term from the numerator and denominator.

Simplify the Rational Expression x2−49(x+7)2\frac{x^{2}-49}{(x+7)^{2}}(x+7)2x2−49​ A) x+7x−7\frac{x+7}{x-7}x−7x+7​ B) x−7x-7x−7 C) x2−49(x+7)2\frac{x^{2}-49}{(x+7)^{2}}(x+7)2x2−49​ D) x−7x+7\frac{x-7}{x+7}x+7x−7​

Simplify the Rational Expression $\frac{x^{2}-49}{(x+7)^{2}}$ A) $\frac{x+7}{x-7}$ B) $x-7$ C) $\frac{x^{2}-49}{(x+7)^{2}}$ D) $\frac{x-7}{x+7}$