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Math Help - Verify by transforming one side into the other

  1. #1
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    Verify by transforming one side into the other

    Verify by transforming one side into the other:

    cos^4 x- sin^4 x =cos^2 x-sin^2 x

    ive tried transforming the left side to the right side

    (cos^2 x)(cos^2 x)-(sin^2 x)(sin^2 x)

    but can't figure out how to proceed


    thanks for any help
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  2. #2
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    Hello, gumby456m!

    Verify: . \cos^4\!x- \sin^4\!x \:=\:\cos^2\!x-\sin^2\!x

    \text{Factor the left side: }\;\left(\cos^2\!x-\sin^2\!x\right)\underbrace{\left(\cos^2\!x + \sin^2\!x\right)}_{\text{This is 1}} \;=\;\cos^2\!x-\sin^2\!x

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