(x-y)3=x3-y3-3xy(x-y)
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Answer:
To Prove: (x-y)³=x³-y³-3xy(x-y)
Proof:
(x-y)³=(x-y)²(x-y)
=(x-y)(x²-2xy+y²)
= x(x²-2xy+y²)-y(x²-2xy+y²)
= x³-2x²y+xy²-xy²+2xy²-y³
= x³-y³-3x²y+3xy²
=x³-y³-3xy(x-y)
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