Simplify the rational expression. (Assume the denominator is nonzero.)
-$\frac{x^{2}+6 x-27}{x^{2}+18 x+81}$

A) $\frac{6 x+27}{18 x-18}$

B) $\frac{x-3}{x+9}$

C) $-\frac{x^{2}+6 x-27}{x^{2}+18 x+81}$

D) $\frac{6 x-27}{18 x+81}$

Question

Simplify the rational expression. (Assume the denominator is nonzero.)
-$\frac{x^{2}+6 x-27}{x^{2}+18 x+81}$

A) $\frac{6 x+27}{18 x-18}$

B) $\frac{x-3}{x+9}$

C) $-\frac{x^{2}+6 x-27}{x^{2}+18 x+81}$

D) $\frac{6 x-27}{18 x+81}$

Quizplus · Accepted Answer

The numerator $x^2 + 6x - 27$ can be factored into $(x - 3)(x + 9)$, and the denominator $x^2 + 18x + 81$ can be factored into $(x + 9)(x + 9)$ or $(x + 9)^2$. Simplifying the expression gives $\frac{x - 3}{x + 9}$.

Simplify the Rational Expression x2+6x−27x2+18x+81\frac{x^{2}+6 x-27}{x^{2}+18 x+81}x2+18x+81x2+6x−27​ A) 6x+2718x−18\frac{6 x+27}{18 x-18}18x−186x+27​ B) x−3x+9\frac{x-3}{x+9}x+9x−3​

Simplify the Rational Expression $\frac{x^{2}+6 x-27}{x^{2}+18 x+81}$ A) $\frac{6 x+27}{18 x-18}$ B) $\frac{x-3}{x+9}$