SOLUTION: I need to know the result of (2x-x^2)^4 using Newton's Binomial formula.

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Question 1051424: I need to know the result of (2x-x^2)^4 using Newton's Binomial formula.
Found 2 solutions by ewatrrr, robertb:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi  

                (a-b)^4 =  a^4 - 4a^3b^1 + 6a^2^b2- 4ab^3  + b^4    

 (2x-x^2)^4 = -x(x-2)^4 = -x(x^4 - 8x^3 + 24x^2 - 32x + 16)

finish as directed

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!

=
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Alternately,
%282x-x%5E2%29%5E4+=+%28x%282-x%29%29%5E4+=+x%5E4%2A%282-x%29%5E4, expand %282-x%29%5E4, and multiply with x%5E4 afterwards.