Asked by Anonymous
verify:
sin^3 x - cos^3 x = (sinx+cosx)(1-sinxcosx)
sin^3 x - cos^3 x = (sinx+cosx)(1-sinxcosx)
Answers
Answered by
MathMate
sin³x-cos³x
=(sin(x)-cos(x))(sin²x+sin(x)cos(x)+cos²(x))
=(sin(x)-cos(x))(1+sin(x)cos(x))
Either there is a typo in the question, or the identity is not valid.
=(sin(x)-cos(x))(sin²x+sin(x)cos(x)+cos²(x))
=(sin(x)-cos(x))(1+sin(x)cos(x))
Either there is a typo in the question, or the identity is not valid.
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