Zig B.

asked • 01/09/24

Consider the expression

How can I consider this expression: (x - y)^2 + (y - 3z)^2 + (x - z)^2 + 6x - 8y + 14z , to get this: (x - y + a)^2 + (y - 3z + b)^2 + (x - z + c)^2

Thanks in advance for any help!


Paul M.

tutor
This is an identity and, therefore, must be true for ALL values of x, y and z. If you expand the right side you will find it contains the sum of a squared+b squared+c squared...which cannot be zero. I think this is a problem because the left side contains no constant term.
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01/10/24

Paul M.

tutor
I just watched the answer from Isabelle H., who comes to the same conclusion I did, namely that the problem cannot be solved as written...and the reason is contained in my previous comment.
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01/10/24

1 Expert Answer

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Isabelle H. answered • 01/10/24

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Zig B.

Thank you so much!
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01/10/24

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