Question

Factorize: (2x-y)3 + (y-3z)3 + (3z- 3x)3 between 3 there are power symbols

Answer 1

a = (2x-y)

b = (y-3z)

c = (3z- 3x)

a + b + c  = (2x-y) + (y-3z) + (3z- 3x) = 0

If a + b +c  = 0 a³ + b³ + c³ = 3abc

(2x-y)³ + (y-3z)³ + (3z- 3x)³  = 3(2x - y) (y - 3z) (3z - 3x)