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Question

Evaluate the expression x2−4x2−x−2\frac{x^2 - 4}{x^2 - x - 2} to its simplest form.

Verified Answer

x+2x+1\frac{x + 2}{x + 1}

Explanation & Step-by-Step Solving

Context: Factorize the numerator using difference of two squares, and factorize the denominator:(x−2)(x+2)(x−2)(x+1)\frac{(x - 2)(x + 2)}{(x - 2)(x + 1)}Canceling out the common factor (x−2)(x - 2) leaves:x+2x+1\frac{x + 2}{x + 1}

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