Correct Answer: Option D

Explanation

(x + 2)(x\(^2\) - 3x + 2) + 2(x + 2)(x - 1) = (x + 2)m

(x + 2)[(x\(^2\) - 3x + 2) + 2(x - 1)] = (x + 2)M

divide both side by (x + 2)

(x\(^2\) - 3x + 2) + 2(x - 1) = M

x\(^2\) - 3x + 2 + 2x - 2 = M

x\(^2\) - 3x + 2 + 2x - 2 = M

x\(^2\) - 3x + 2x = M

x\(^2\) - x = M

M = x\(^2\) - x

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