Prove that sinxcos^3x - cosxsin^3x = 1/4 sin 4x

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Prove that sinxcos^3x - cosx sin^3x = 1/4 sin 4x

I am stuck with this one. Thank you in advance!
 
You've factored out the sin(x)cos(x), and replaced this with (1/2)sin(2x), right?

How far have you gotten with the remaining factor of cos<sup>2</sup>(x) - sin<sup>2</sup>(x)? You should have an identity for that bit, too....

Eliz.
 
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