Prove it :
(sin A +cos A)(1-sin A cos A)=sin^3 A+ cos^3 A
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Step-by-step explanation:
LHS=
( sin A + cos A)(1-sinAcosA)
=( sinA + cosA )(sin^2A + cos^2A - sinAcosA)
= sin^3A + cos ^3A
as
a^3 + b^3 = (a+b)(a^2 + b^2 - ab)
=RHS
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