Question

Factorise 8a^3+b^3+12a^2b+6ab^2​

Answer 1

(2a+b)^3

Step-by-step explanation:

8a^3+b^3+12a^2b+6ab^2​

(2a)^3 + 3. (2a)^2 b + 3 (2a) b^2 + b^3

the above equation compare to (a+b)^3 = a^3 + 3a^2b+3ab^2 +b^3

when we compare both the equations

our a= 2a and b=b

so, our answer is (2a + b)^3

Answer 2

Answer: See below

Step-by-step explanation:

8a^3+b^3+12a^2b+6ab^2
= (8a^3+b^3) + (12a^2b+6ab^2)

= (2a+b)(4a^2+2ab+b^2)+6ab(2a+b)
= (2a+b)(4a^2+2ab+b^2)+6ab
= (2a+b)(4a^2 + 2ab+b^2+6ab)
= (2a+b)(4a^2+8ab+b^2)