Question

prove that (sinA+cosA)(1-sinA×cosA)=sin^3A+cos^3A​

Answer 1

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LHS

(sinA + cosA)(sin^2 A + cos^2 A - sinAcosA)

RHS

sin^3 A + cos^3 A = (sinA + cosA)(sin^2 A + cos^2 A - sinAcosA)

LHS = RHS