1.

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»

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) 



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