Question

Factorize: (x - y) + (y - z) + (z - x)?
(a) (2x - y) (y-2) (2-x)
(b) 3(x - y) (y-2)(z-x)
(c) (x - y) (2y - 3z) (z - x)
(d) (2x - 3y) (5x + 3y) (6x - 7y)​

Answer 1

Answer:

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Answer 2

Answer:

$a + b + c = 0 \\ then \: {a}^{3} + {b}^{3} + {c}^{3} = 3abc \\ x - y + y - z + z - x = 0 \\ {(x - y)}^{3} + {(y - z)}^{3} + {(z - x)}^{3} = 3(x - y)(y - z)(z - x)$