Simplify: (x + y - z) * x + (z + x - y) * y - (z + y - x) * z
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Answer:
x
y
=z,y
z
=x and z
x
=y
Put x=y
z
in (x
y
=z)
⇒y
zy
=z,
Now put y=z
x
z
xyz
=z ⇒
xyz=1
Hence only one value of (x,y,z) is possible.
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