Math, asked by Mitalidabade20, 6 months ago

simplify x(y-z)+y(z-x)+z(x-y)

Answers

Answered by BrainlyProgrammer
3

Answer:

0

Step-by-step explanation:

xy-xz+yz-xy+xz-yz=0

Therefore everything cancelled

PLZ MARK BRAINLIEST

Answered by sintuprajapati7748
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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