Question

please solve this question asap I will mark the best explanation as brainliest​

Answer 1

Answer

It is given that,

x + y + z = 9

And, xy + yz + zx = 23

As we know that,

(x + y + z)2 = (x2 + y2 + z2 + 2xy + 2yz + 2zx)

∴ (9)2 = [x2 + y2 + z2 + 2 (xy + yz + zx)]

x2 + y2 + z2 = 81 – 2 × 23

x2 + y2 + z2 = 81 – 46

x2 + y2 + z2 = 35

We also know that:

(x3 + y3 + z3 – 3xyz) = (x + y + z) [x2 + y2 + z2 – (xy + yz + zx)]

= 9 (35 – 23)

= 9 × 12

= 108