Prove that Sin^3 A- Cos^3 A =(sinA - CosA) (1+SinA CosA)
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Step-by-step explanation:
a3+b3=(a+b)(a2−ab+b2)
here a=sinA and b=cosA
⇒sin3A+cos3A
=(sinA+cosA)(sin2A−sinAcosA +cos2A)
[sin2A+cos2A=1]
=(sinA+cosA)(1−sinAcosA) =right side
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