Question

what are the factors of (x+y)^3 - (x^3 + y^3)

Answer 1

Hi friend
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Your answer
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(x + y)³ - (x³ + y³)

=> (x + y)³ - (x + y)(x² - xy + y²)

=> (x + y)[(x + y)² - (x² - xy + y²)]

=> (x + y)(x² + 2xy + y² - x² + xy - y²)

=> (x + y)3xy

∴ 3xy and (x + y) are the factors of (x + y)³ - (x³ + y³).

HOPE IT HELPS