if x+y+z=0 then find x²/yz + y²/xz+ z²/xy
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Answer: 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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