Show that cos^3x+sin^3x= (cosx+sinx)(1-cos x sinx)
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cos³x + sin³x
= (cosx + sinx)(cos²x-cosxsinx+sin²x)
= (cosx + sinx)(cos²x + sin²x -cosxsinx )
= (cosx + sinx)(1 -cosxsinx )
= (cosx + sinx)(cos²x-cosxsinx+sin²x)
= (cosx + sinx)(cos²x + sin²x -cosxsinx )
= (cosx + sinx)(1 -cosxsinx )
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cos³x + sin³x= (cosx + sinx)(cos²x-cosxsinx+sin²x)= (cosx + sinx)(cos²x + sin²x -cosxsinx )= (cosx + sinx)(1 -cosxsinx
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