Question

PLEASE SOLVE THIS WITH PROPER STEPS ​

Answer 1

Answer:

Step-by-step explanation:

x+y+z=6

xy+yz+zx=7

(x+y+z)²=x²+y²+z²+2xy+2yz+2zx

(x+y+z)²=x²+y²+z²+2(xy+yz+zx)

(6)²=x²+y²+z²+2*7

36=x²+y²+z²+14

x²+y²+z²=22

now,

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

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

                      =6*(22-7)

                      =6*15

                      =90