Question

which one of the following is one of the factors x^2(y-z)+y^2(z-x)-z(xy-yz-zx)​

(x-y)
(x+y-z)
(x-y-z)
(x+y+z)

Answer 1

Answer:

(c) (x – y – z)

Step-by-step explanation:

x2 (y – z) + y2 (z – x) – z(xy – yz – zx)  = x2y – x2z + y2z – y2x – zxy + yz2 + z2x  = xy(x – y – z) + z2(x + y) – z (x2 – y2)  = xy(x – y – z) – z (x + y) (x – y – z) = (x – y – z) (xy – yz – zx)