Simplify: $\frac{x^2 - 9}{x^2 - x - 6}$

Question

Accepted Answer

$\frac{x + 3}{x + 2}$. The numerator x²-9 = (x+3)(x-3). The denominator x²-x-6 = (x-3)(x+2). Cancelling the common factor (x-3) gives (x+3)/(x+2), which is option B. Distractors result from incorrect factorization of either expression.

Answer

A) $\frac{x - 3}{x - 2}$

Answer

B) $\frac{x + 3}{x + 2}$

Answer

C) $\frac{x - 3}{x + 2}$

Answer

D) $\frac{x + 3}{x - 2}$

Simplify: $\frac{x^2 - 9}{x^2 - x - 6}$

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