Question

Simplify : (a+b)^3 + (a-b)^3 + 6a(a^2- b^2) Answer Fast....

Answer 1

Solution

1) Expand

α³+2α²b+αb²+bα²+2b²α+b³+α³−2α²b+αb²−bα²+2b²α−b³+6α³−6αb²

Gather like terms

(α³+α³+6α³)+(2α²b+α²b−2α²b−α²b)+(αb²+2αb²+αb²+2αb²−6αb²)+(b³−b³) 

Simplify

8α³

Answer 2

Answer:

$8a^3$

Step-by-step explanation:

Given : $(a+b)^3 + (a-b)^3 + 6a(a^2- b^2)$

To Find : Simplify

Solution :

$(a+b)^3 + (a-b)^3 + 6a(a^2- b^2)$

Identity : $(a+b)^3=a^3+b^3+3a^2 b+3ab^2$

Identity : $(a-b)^3=a^3-b^3-3a^2 b+3ab^2$

$a^3+b^3+3a^2 b+3ab^2+a^3-b^3-3a^2 b+3ab^2+ 6a^3- 6ab^2$

$8a^3$

Hence $(a+b)^3 + (a-b)^3 + 6a(a^2- b^2)$ = $8a^3$