[SOLVED] Simplifying where am I going wrong?

**TYTY** · Mar 10th 2009, 05:05 PM

$ (\sqrt{5}sin(\theta))^3\sqrt{5 - (\sqrt{5}sin(\theta))^2}\sqrt{5}cos(\theta) $

$ = 25sin^3(\theta)(\sqrt{5cos^2(\theta)}\sqrt{5}cos(\ theta) $

$ = 25sin^3(\theta)\sqrt{5}cos(\theta)\sqrt{5}cos(\the ta) $

$ = 25sin^3(\theta)5cos^2(\theta) $

$ = 125sin^3(\theta)cos^2(\theta) $

this is slightly off from what the book has but it provides no explanation

**TYTY** · Mar 10th 2009, 05:07 PM

oh I think I just noticed it. the 25 should be $5\sqrt{5}$

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