SOLUTION: Multiply and if possible simplify x-7 * x^2-3x-28 ___________ ____ (x+4)^2 * (x-7)^2

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Question 302426: Multiply and if possible simplify
x-7 * x^2-3x-28
________________
(x+4)^2 * (x-7)^2

Answer by london maths tutor(243) About Me  (Show Source):
You can put this solution on YOUR website!
Factorise: x^2-3x-28 = (x-7)(x+4)
Factorise: (x+4)^2 = (x+4)(x+4)
Factorise: (x-7)^2 = (x-7)(x-7)
Therefore:
%28%28x-7%29%2A%28x-7%29%28x%2B4%29%29%2F%28%28x%2B4%29%28x%2B4%29%2A%28x-7%29%28x-7%29%29
cancel out (x-7) and (x+4)
=1%2F%28x%2B4%29