Question

Show that x³ + y³ + z³ - 3xyz is a multiple of x+y+z

Answer 1

x³ + y³ + z³ - 3xyz is a multiple of x+y+z.

What is a multiple?

It should be noted that a multiple simply means a number that van be divided by another a certain number if times without a remainder.

Put x + y + z = 0

= x³ + y³ + z³ - 3xyx

= 0(x² + y² + z² - xt - yz - zx)

= x³ + y³ + z³ - 3xyz = 0.

x³ + y³ + z³ = 3xyz

Learn more about multiples on:

brainly.com/question/251701

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