Math, asked by IAKSinghRajput, 1 month ago

Simplify (x+y)^3 - (x-y)^3 - 6y(x^2-y^2)

Answers

Answered by ItzmeMili
2

(x+y)3−(x−y)3−6y(x2−y2)

=(x+y)3−(x−y)3−6y(x−y)(x+y)

=(x+y)3−(x−y)((x−y)2+6y(x+y))

=(x+y)3−(x−y)(x2+y2−2xy+6xy+6y2)

=(x+y)3−(x−y)(x2+7y2+4xy)

=x3+y3+3x2y+3xy2−x3−7xy2−4x2y+x2y+7y3+4xy2

=8y3

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