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Question
Simplify: (x + y – z)x + (z + x – y)y – (x + y – z)z
Sum
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Solution
(x + y – z)x + (z + x – y)y – (x + y – z)z
= x2+ xy – zx + yz + xy -y2 – zx – yz + z2
= x2 - y2 + z2 + 2xy – 2zx
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