Question
Factorise:
x5 + x2
x5 + x2
✓
Answer
x5 + x2
= x2(x3 + 1)
= x2(x + 1)[(x)2 - x × 1 + (1)2] Since a3 + b3 = (a + b)(a2 - a × b + b2)
= x2(x + 1)(x2 - x + 1)
= x2(x3 + 1)
= x2(x + 1)[(x)2 - x × 1 + (1)2] Since a3 + b3 = (a + b)(a2 - a × b + b2)
= x2(x + 1)(x2 - x + 1)
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