Question

Consider the following approach to factoring the problem
(x - 2)2 + 3(x - 2) - 10.
(x - 2)2 + 3(x - 2) - 10
= y2 + 3y - 10 Replace x - 2 with y
= ( y + 5)( y - 2) Factor
= (x - 2 + 5)(x - 2 - 2) Replace y with x - 2
= (x + 3)(x - 4) Use this approach to factor (x - 3)2 + 10(x - 3) + 24

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