Question

The value of the following algebraic expression is (a - b)(a + b) + (b - c)(b + c) + (c - a)(c + a)​

Answer 1

Answer:

0

Step-by-step explanation:

Due to the identity (a + b)(a - b) = a^2 - b^2

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

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

[Opening the brackets]

a^2 - a^2 + b^2 - b^2 + c^2 - c^2

0