Question

Verify: b) x³-y³=(x-y) (x²+xy+y²)

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Answer 1

=(x+ −y) (x2 + xy + y2)

=(x) (x2) + (x) (xy)+ (x) (y2)+ (−y) (x2)+ (−y) (xy) + (−y) (y2)

=x3+x2y+xy2−x2y−xy2−y3

=x3−y3