SOLUTION: expand and simplify the following expression: (x+5)^3

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Question 144866: expand and simplify the following expression: (x+5)^3
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
You can apply the binomial expansion to this:
%28a%2Bb%29%5E3+=+a%5E3%2B3a%5E2b%2B3ab%5E2%2Bb%5E3
In your problem, a = x and b = 5, so...
%28x%2B5%29%5E3+=+x%5E3%2B3x%5E2%285%29%2B3x%285%29%5E2%2B5%5E3 Simplifying this, we get:
%28x%2B5%29%5E3+=+x%5E3%2B15x%5E2%2B75x%2B125