13. If x + y + z-0 then x+y+z'is equal to:(a) 3xyz(b) - 3xyz(c) xy(d)-2xy
1 answer:
Answer:
a
Step-by-step explanation:
(x³ + y³ +z³) - 3xyz = (x + y + z )(x² +y² +z² - xy -yz - zx)
If x +y + z = 0, then
(x³ + y³ +z³) - 3xyz = 0 *(x² +y² +z² - xy -yz - zx)
(x³ + y³ +z³) - 3xyz = 0
(x³ + y³ +z³) = 3xyz
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