Question
Simplify $: (x + y – z)x + (z + x – y)y – (x + y – z)z$
✓
Answer
$(x + y – z)x + (z + x – y)y – (x + y – z)z$
$= x^2+ xy – zx + yz + xy -y^2 – zx – yz + z^2$
$= x^2 - y^2 + z^2 + 2xy – 2zx$
$= x^2+ xy – zx + yz + xy -y^2 – zx – yz + z^2$
$= x^2 - y^2 + z^2 + 2xy – 2zx$
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