Answer to Question #225315 in Linear Algebra for Anuj

Question #225315

4x^2+3y^2+z^2-8xy-6yz+4zx

Expert's answer

"4x^2+3y^2+z^2-8xy-6yz+4zx\\\\\n=x^2+y^2+z^2-2xy-2yz+2zx+3x^2+2y^2-6xy-4yz\\\\\n=(x-y+z)^2+2(x^2+y^2-2xy)+x^2-2xy-4yz\\\\\n=(x-y+z)^2+2(x-y)^2+x^2-2xy-4yz"

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