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Verify:x³+Y³=(x+y)(x²-xy+y²)

Verify:x³+Y³=(x+y)(x²-xy+y²)
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Verify:x³+Y³=(x+y)(x²-xy+y²)

User KedarX
by
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1 Answer

3 votes
RHS-
(x+y)(x²-xy+y²)
=x(x²-xy+y²)+y(x²-xy+y²)
=x³-x²y+xy²+x²y-xy²+y³
(CANCEL THE POSSIBLE TERMS)
=x³+y³
=LHS
therefore verified
User Tanis
by
8.2k points
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