Mathematics
Factorize :
x(x + y)3 - 3x2y(x + y)
Factorisation
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Answer
Given,
⇒ x(x + y)3 - 3x2y(x + y)
⇒ x(x + y)[(x + y)2 - 3xy]
⇒ x(x + y)[x2 + y2 + 2xy - 3xy]
⇒ x(x + y)(x2 + y2 - xy).
Hence, x(x + y)3 - 3x2y(x + y) = x(x + y)(x2 + y2 - xy).
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