SOLUTION: please help solve factor out the greatest ommon factor. Simplify if possible. 5(2-x)^2-(2-x)^3+4(2-x)

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Question 63944: please help solve
factor out the greatest ommon factor. Simplify if possible.
5(2-x)^2-(2-x)^3+4(2-x)

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
factor out the greatest ommon factor. Simplify if possible.
5(2-x)^2-(2-x)^3+4(2-x)
The GCF is (2-x)
%282-x%29%285%282-x%29-%282-x%29%5E2%2B4%29
%282-x%29%2810-5x-%282-x%29%282-x%29%2B4%29
%282-x%29%2810-5x-%282%282%29%2B2%28-x%29-x%282%29-x%28-x%29%29%2B4%29
%282-x%29%2810-5x-%284-2x-2x%2Bx%5E2%29%2B4%29
%282-x%29%2810-5x-%284-4x%2Bx%5E2%29%2B4%29
%282-x%29%2810-5x-4%2B4x-x%5E2%2B4%29
%282-x%29%2810-x-x%5E2%29
%282-x%29%28-x%5E2-x%2B10%29
-1%282-x%29%28x%5E2%2Bx-10%29
%28-2%2Bx%29%28x%5E2%2Bx-10%29
%28x-2%29%28x%5E2%2Bx-10%29
Happy Calculating!!!