Question
Factorise : 8a3 + b3 + 12a2b + 6ab2
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Answer
8a3 + b3 + 12a2b + 6ab2
= (2a)3 + (b)3 + 3(2a)(b)(2a + b)
= (2a+ b)3
(Using Identity (a + b)3= a3+ b3+ 3ab (a + b))
= (2a + b)(2a + b)(2a + b)
= (2a)3 + (b)3 + 3(2a)(b)(2a + b)
= (2a+ b)3
(Using Identity (a + b)3= a3+ b3+ 3ab (a + b))
= (2a + b)(2a + b)(2a + b)
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