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Grade: 9
```
If x+y+z=0, then what is (x 2 /2 x 2 +yz) + (y 2 /2y 2 +xz) + (Z 2 /2z 2 +xy)?
If x+y+z=0, then what is (x2/2 x2+yz) + (y2/2y2+xz) + (Z2/2z2+xy)?

```
8 months ago

## Answers : (1)

Arun
25768 Points
```							x+y+z=0 x+y=-z…………(1) , cubing both sides x^3+y^3+3.x.y(x+y)=-z^3 , now put x+y= -z x^3+y^3–3x.y.z=-z^3 x^3+y^3+z^3 =3.x.y.z , divide both sides by x.y.z x^2/yz+y^2/zx+z^2/xy= 3 , answer.
```
8 months ago
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