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