Factorise :- 8a^2 + b^3 + 12a^2b+ 6ab^2 Plz tell me fast someone
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8a3 + b3 + 12a2b + 6ab2
SOL: 8a3 + b3 + 12a2b + 6ab2
= (2a)3 + (b)3 + 12a2b + 6ab2
= (2a)3 + (b)3 + 6ab (2a + b)
= (2a)3 + (b)3 + 3(2a)(b) (2a + b)
BY USING (x + y)3 = x3 + y3 + 3xy(x + y)
Putting x = 2a, y = b
= (2a + b)3
= (2a + b) (2a + b) (2a + b)
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