(sin A + cos A)(1-sin A cos A)=sin³A+ cos³A
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Step-by-step explanation:
consider right hand side
sin³A+cos³A=(sinA+cosA)(sin²A+cos²A-sinAcosA) (since sin²A+cos²A=1)
= (sinA+cosA)(1-sinAcosA) =LHS hence proved
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