Question

Factorise
(x - y)^3 + (y - z)^3 + (z - x)^3
​

Answer 1

Answer:

x^3-y^3+y^3-z^3+z^3-x^3

Answer 2

Step-by-step explanation:

(x-y)³+(y-z)³+(z-x)³

If A+B+C=0

THEN A³+B³+C³=3ABC

LET CHACK

X-Y+Y-X+Z-X=0

(X-Y)³+(Y-Z)³+(Z-X)³=3(X-Y)(Y-Z)(Z-X)

3(XY-XZ-Y²+YZ)(Z-X)

3(ZXY-XZ²-ZY²+YZ²-X²Y+X²Z+XY²-XYZ)

3(-XZ²-ZY²+YZ²-x²y+x²z+xy²)

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