Question

The factors of 2a-b whole cube plus b minus 2c whole cube plus 8 into c -a whole cube is

Answer 1

Answer:

3(2a-b)+(2a+8c)+(c-a)

Step-by-step explanation:

This is the answer of this question

Answer 2

Solution

Correct options are A) , B) and C)

1. a3+b3+c3−3abc=(a+b+c)(a2+b2+c2−ab−bc−ca) 

So, if a+b+c=0, a3+b3+c3=3abc

The given expression can be written as 

(2a−b)3+(b−2c)3+(2c−2a)3

We can see here that 2a−b+b−2c+2c−2a=0.

Hence, following the above concept

(2a−b)3+(b−2c)3+(2c−2a)3=6(2a−b)(b−2c)(c−a)

Hence, options A, B, C are correct