Mathematics
Which of the following is a factor of (x + y)3 - (x3 + y3)?
x2 + xy + 2xy
x2 + y2 - xy
xy2
3xy
Factorisation
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Answer
We know that,
(a + b)3 = a3 + b3 + 3ab(a + b).
∴ (x + y)3 - (x3 + y3) = x3 + y3 + 3xy(x + y) - x3 - y3 = 3xy(x + y).
Hence, Option 4 is the correct option.
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