SOLUTION: Prove these identities.
a) (a+b+c)(ab+bc+ca)−abc= (a+b)(b+c)(c+a)
b) (ax+by)^2 + (ay−bx)^2 +c^2(x^2 +y^2)= (x^2 +y^2)(a^2 +b^2 +c^2)
Thank you so much :)
Algebra ->
Equations
-> SOLUTION: Prove these identities.
a) (a+b+c)(ab+bc+ca)−abc= (a+b)(b+c)(c+a)
b) (ax+by)^2 + (ay−bx)^2 +c^2(x^2 +y^2)= (x^2 +y^2)(a^2 +b^2 +c^2)
Thank you so much :)
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Question 1139327: Prove these identities.
a) (a+b+c)(ab+bc+ca)−abc= (a+b)(b+c)(c+a)
b) (ax+by)^2 + (ay−bx)^2 +c^2(x^2 +y^2)= (x^2 +y^2)(a^2 +b^2 +c^2)
Thank you so much :) Answer by MathLover1(20849) (Show Source):