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Question
Simplify.
(x + y) (x2 − xy + y2)
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Solution
(x + y) (x2 − xy + y2)
= x (x2 − xy + y2) + y (x2 − xy + y2)
= x3 − x2y + xy2 + x2y − xy2 + y3
= x3 + y3 + (xy2 − xy2) + (x2y − x2y)
= x3 + y3
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