Question
Factorise the following:$(x + y)^3 - x - y$
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Answer
$(x + y)^3 - x - y$
$= (x + y)(x + y)^2 - (x + y)$
$= (x + y)[(x + y)^2 - 1]$
$= (x + y)[(x + y + 1)(x + y - 1)]$
$= (x + y)(x + y + 1)(x + y - 1).$
$= (x + y)(x + y)^2 - (x + y)$
$= (x + y)[(x + y)^2 - 1]$
$= (x + y)[(x + y + 1)(x + y - 1)]$
$= (x + y)(x + y + 1)(x + y - 1).$
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