Question

Find the value of (x-a)3 + (x-b)3 + (x-c)3 + 3(x-a) (x-b) (x-c), where a+b+c = 3x

Answer 1

Step-by-step explanation:

3x-3a+3x-3b+3x-3c+3(x-a)(x-b)(x-c)

a+b+c-3a+a+b+c-3b+a+b+c-3c+3(x-a)(x-b)(x-c)

3a-3a+3b-3b+3c-3c+3(x-a)(x-b)(x-c)

3(x-a)(x-b)(x-c)