Question

using factor theorem,show that (x-y) is a factor of x(y²-z²)+y(z²-x²)+z(x²-y²)

Answer 1

to prove x-y is a factor, we take x-y = 0, therefore, x=y
x (y^2 - z^2) + y (z^2 - x^2) + z (x^2 - y^2)
y replaces x as x = y
y (y^2 - z^2) + y (z^2 - y^2) + z (y^2 - y^2)
y^3 - yz^2 + yz^2 - y^3 + z × 0
y^3 - y^3 - yz^2 + yz^2 + 0
0

Answer 2

Answer:

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