Question
Factorise:
a2 + ab(b + 1) + b3
a2 + ab(b + 1) + b3
✓
Answer
a2 + ab(b + 1) + b3
= a2 + ab2 + ab + b3
= a2 + ab + ab2 + b3
= a(a + b) + b2(a + b)
= (a + b)(a + b2)
= a2 + ab2 + ab + b3
= a2 + ab + ab2 + b3
= a(a + b) + b2(a + b)
= (a + b)(a + b2)
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