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Math Help - [SOLVED] Simplifying where am I going wrong?

  1. #1
    Junior Member
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    52

    [SOLVED] Simplifying where am I going wrong?

    <br /> <br />
(\sqrt{5}sin(\theta))^3\sqrt{5 - (\sqrt{5}sin(\theta))^2}\sqrt{5}cos(\theta)<br /> <br />

    <br />
= 25sin^3(\theta)(\sqrt{5cos^2(\theta)}\sqrt{5}cos(\  theta)<br /> <br />

    <br />
= 25sin^3(\theta)\sqrt{5}cos(\theta)\sqrt{5}cos(\the  ta)<br /> <br />

    <br />
= 25sin^3(\theta)5cos^2(\theta)<br />

    <br />
= 125sin^3(\theta)cos^2(\theta)<br />

    this is slightly off from what the book has but it provides no explanation
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  2. #2
    Junior Member
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    oh I think I just noticed it. the 25 should be 5\sqrt{5}
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