Question

Factorize. 2*a *a*a+16*b*b*b-3a-6b​

Answer 1

Answer:

(a+2b)(2a²-4ab+8b²-3)

Explanation:

2*a *a*a+16*b*b*b-3a-6b

= 2a³+16b³-3a-6b

= 2(a³+8b³)-3(a+2b)

= 2[a³+(2b)³]-3(a+2b)

=2(a+2b)[a²-a*2b+(2b)²]-3(a+2b)

= 2(a+2b)(a²-2ab+4b²)-3(a+2b)

= (a+2b)[2(a²-2ab+4b²)-3]

=(a+2b)(2a²-4ab+8b²-3)

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