Question

a(b-c)+b(c-a)+c(a-b) is equal to​

Answer 1

answer is 0 because all are cutting

Answer 2

a(b - c) + b(c - a) + c(a - b) = 0

Given :

The expression a(b - c) + b(c - a) + c(a - b)

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

a(b - c) + b(c - a) + c(a - b)

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf{ a(b - c) + b(c - a) + c(a - b)}$

$\displaystyle \sf{ = ab - ac + bc - ab + ac - bc }$

$\displaystyle \sf{ =0 }$

Hence the required value of the expression = 0