Question

Factorise each of the following
8a³+b³+12a²b+6ab²
​

Answer 1

Answer:

8a³ + b³+ 12a²b + 6ab²

Step-by-step explanation:

It can be written as,

= (2a)³ + (b)³ + 3*(2a)(b) [2a+b]

= (2a + b)³

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

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Answer 2

Step-by-step explanation:

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

using identity (a + b)^3 = a^3 + b^3 + 3ab(a + b)

=>(2a)^3 +(b)^3 + 3×2a×b ( 2a + b )

=>(2a + b )^3 Ans