Factorise 8a^3-6^3-12a^2b+6ab^2
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Answer:
(2a + b)³
Step-by-step explanation:
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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