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

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.