Question

Factorise each of the following:
(i) 8a^3+ b^3 + 12a^2 b + 6a b^2​

Answer 1

$\huge \underline \mathfrak{ \red{ans}wer}$

(i) 8a3 + b3 + 12a2b + 6ab2

= (2a)3 + (b)3 + 3(2a)(b)(2a + b) = (2a + b)3

∵ a3 + b3 + 3ab(a + b) = (a + b)

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Answer 2

Step-by-step explanation:

8a^3 + b^3 + 12a^2 + 6ab^2

( by using this formula:- a^3 + b^3 + 3a×b ( a + b) = (a +b) )

(2a)3 + (b)3 + 3 (2a ) (b) ( 2a + b ) = ( 2a+ b ) 3

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