Math, asked by subbu786hussain, 1 year ago

If x+y+Z=0 THEN X^2/yz+y^2/zx+z^2/xy equals
A.1
B.2
C.3

Answers

Answered by Ayusa1
18
C. 3
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Answered by Arshad2003
6

Answer: C = 3


Step-by-step explanation:

x+y+z=0


x+y=−z(1)


Cubing both sides,


x3+y3+3xy(x+y)=−z3


From (1),


x3+y3+3xy(−z)=−z3


x3+y3+z3=3xyz


Now, dividing both sides by xyz ,


x3xyz+y3xyz+z3xyz=3


x2yz+y2xz+z2xy=3


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