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Step-by-step explanation:
LHS = (a-b)(a+b) + (b-c)(b+c) + (c-a)(c+a)
= a(a+b) - b(a+b) + b(b+c) - c(b+c) + c(c+a) - a(c+a)
= a^2 + ab - ab - b^2 + b^2 + bc - bc - c^2 + c^2 + ac - ac- a^2l
= 0
= RHS
by canceling terms
I hope this will help you...
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