simplify the following ( a+b) ²+(a-b) ²
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We know, that (x+y)^2-2xy=x^2+y^2
So. (a+b)^2+(a-b)^2 = [(a+b)+(a-b)]^2-2(a-b)(a+b)
=(2a)^2-2(a^2-b^2)
=4a^2-2(a^2-b^2)
=2(a^2+b^2)
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