Question

verify x³-y³=(x-y) (x²+xy+y²)
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Answer 1

Answer:

LHS= RHS.

Step-by-step explanation:

$rhs = (x - y)( {x}^{2} + xy + {y}^{2} ) \\ \\ = x( {x}^{2} + xy + {y}^{2} ) - y( {x}^{2} + xy + {y}^{2} ) \\ \\ = {x}^{3} + {x}^{2} y + x {y}^{2} - {x}^{2} y - x {y}^{2} - {y}^{3} \\ \\ = {x}^{3} - {y}^{3} \\ \\ = lhs.$

HENCE , L.H.S = R.H.S. .

Answer 2

Step-by-step explanation:

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