(x – y)(x2 + xy + y2) is equal to
(x – y)(x2 + xy + y2) is simply the expansion of x3 – y3.
we can also obtain this result by multiplying them
i.e. (x – y)(x2 + xy + y2) = x(x2 + xy + y2) – y(x2 + xy + y2)
= x3 + x2y + xy2 – x2y – xy2 – y3
= x3 – y3
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