SOLUTION: Use mathematical induction to prove that 1^3+2^3+3^3+....+n^3=(1+2+3+....+n)^2 Please I need your assistance

Question 393642: Use mathematical induction to prove that
1^3+2^3+3^3+....+n^3=(1+2+3+....+n)^2
Please I need your assistance
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The base case satisfies. Now, suppose that

for arbitrary n. We wish to prove that this implies the case will be true, or that

We can show this is true, using the fact that and Therefore this is equivalent to showing that

Divide both sides by

This holds for all n, so the statement holds for n+1. The induction is complete, so

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