Question

simplify a(b-c)-b(c-a)-c(a-b)​

Answer 1

To find:

Simplified form a (b - c) - b (c - a) - c (a - b)

Step-by-step explanation:

• Before we solve the problem, let us get well-known to some rules of products of positive and negative signs. a. (+) × (+) = (+), b. (+) × (-) = (-), c. (-) × (+) = (-) and d. (-) × (-) = (+).

Now, a (b - c) - b (c - a) - c (a - b)

= ab - ac - bc + ba - ca + cb

= ab - ca - bc + ab - ca + bc

= ab + ab + bc - bc - ca - ca

= 2ab + 0 - 2ca

= 2ab - 2ca

Answer:

a (b - c) - b (c - a) - c (a - b) = 2ab - 2ca