simplify x(y-z)+y(z-x)+z(x-y)
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Answered by
3
Answer:
0
Step-by-step explanation:
xy-xz+yz-xy+xz-yz=0
Therefore everything cancelled
PLZ MARK BRAINLIEST
Answered by
2
Step-by-step explanation:
Simplifying
x(y + -1z) + y(z + -1x) + z(x + -1y) = 0
(y * x + -1z * x) + y(z + -1x) + z(x + -1y) = 0
(xy + -1xz) + y(z + -1x) + z(x + -1y) = 0
Reorder the terms:
xy + -1xz + y(-1x + z) + z(x + -1y) = 0
xy + -1xz + (-1x * y + z * y) + z(x + -1y) = 0
xy + -1xz + (-1xy + yz) + z(x + -1y) = 0
xy + -1xz + -1xy + yz + (x * z + -1y * z) = 0
xy + -1xz + -1xy + yz + (xz + -1yz) = 0
Reorder the terms:
xy + -1xy + -1xz + xz + yz + -1yz = 0
Combine like terms: xy + -1xy = 0
0 + -1xz + xz + yz + -1yz = 0
-1xz + xz + yz + -1yz = 0
Combine like terms: -1xz + xz = 0
0 + yz + -1yz = 0
yz + -1yz = 0
Combine like terms: yz + -1yz = 0
0 = 0
Solving
0 = 0
I hope it helpful.
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