precalc

Hi. Can someone help me with this?

Simplify:
(sin^2x)(cos^2x)+(sin^4x)

The answer is sin^2x, but I have no idea how to get there!

Thanks!

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  1. cos^2 x = 1 - sin^2 x
    so
    sin^2 x [ 1 - sin^2 x ] + sin^4 x

    I think you can see what happens now :)

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  2. Or....

    take out a common factor

    sin^2 x(cos^2 x + sin^2 x)
    = (sin^2 x)(1) and there it is.

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  3. thanks

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