Given that (x + 2)(x2 - 3x + 2) + 2(x + 2)(x - 1) = (x + 2) M, find M

Assessment: WAEC SSCE - General Mathematics - 2013 (Objective) Subject: General Mathematics

Question 1 Report

Given that (x + 2)(x2 - 3x + 2) + 2(x + 2)(x - 1) = (x + 2) M, find M
Answer Details
We can begin by factoring out (x + 2) from both terms on the left side of the equation: (x + 2)(x2 - 3x + 2) + 2(x + 2)(x - 1) = (x + 2) M (x + 2)[(x2 - 3x + 2) + 2(x - 1)] = (x + 2) M Simplifying the expression in the brackets, we get: (x + 2)(x2 - x) = (x + 2) M Now, we can cancel out (x + 2) from both sides of the equation: x2 - x = M Therefore, the value of M is simply x2 - x.

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