Question

(2a + b)^3 – (2a – b)^3 – 6b(2a + b) (2a – b).​

Answer 1

Answer:

8b^3

Step-by-step explanation:

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

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

Let 2a+b = x, 2a-b = y

∴ x^3 - y^3 - 3(x-y)(x)(y)

= ( x-y )^3

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

= (2b)^3

= 8b^3