Mathematics
Factorise the following:
x2 + x5
Factorisation
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Answer
x2 + x5 = x2(1 + x3) = x2[(1)3 + (x)3].
We know that,
a3 + b3 = (a + b)(a2 - ab + b2)
x2[(1)3 + (x)3] = x2(1 + x)(12 - 1.x + x2)
= x2(1 + x)(1 - x + x2).
Hence, x2 + x5 = x2(1 + x)(1 - x + x2).
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