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## Homework Statement

Let P (n) be the statement that 1^3 + 2^3 + · · · + n^3 = (n(n + 1)/2)^2 for the positive integer n. Prove inductively.

## Homework Equations

## The Attempt at a Solution

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I am skipping a few steps...I just need help here:

1/4K^2(k + 1)^2 + (k + 1)^3

Since I have access to the solution, the next step is this:

1/4(k+1)^2 [K^2 + 4 (k + 1)]

I am confused at how this is gotten to. I appreciate the help.

Thanks.