Can someone please explain, how $\displaystyle \frac{k^{2}(k+1)^{2} +4(k+1)^{3}}{4} $ simplifies to

$\displaystyle \frac{({k+1}^{2})k^{2}+4(k+1)}}{{4}} $

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- May 23rd 2012, 11:26 AMTweetysimplifying help
Can someone please explain, how $\displaystyle \frac{k^{2}(k+1)^{2} +4(k+1)^{3}}{4} $ simplifies to

$\displaystyle \frac{({k+1}^{2})k^{2}+4(k+1)}}{{4}} $ - May 23rd 2012, 11:35 AMPlatoRe: simplifying help
- May 23rd 2012, 11:51 AMTweetyRe: simplifying help
- May 23rd 2012, 11:58 AMPlatoRe: simplifying help
- May 23rd 2012, 11:59 AMTweetyRe: simplifying help
I think I got it, we factor out a (k+1) term, from $\displaystyle (k+1)^{2} $ and from $\displaystyle (k+1)^{3} $

- May 24th 2012, 06:06 AMWilmerRe: simplifying help
Make your life easier: remove the division by 4; let x = k+1