If a+b+c=9 and ab+bc+ca=26, find the value of a³ +b³ +c³ -3abc.

Find the following product:

(i) (3x+2y+2z) (9x²+4y²+4z²-6xy-4yz-6zx)

(ii) (4x-3y+2z) (16x²+9y²+4z²+12xy+6yz-8zx)

(iii) (2a-3b-2c) (4a²+9b²+4c²+6ab-6bc+4ca)

(iv) (3x-4y+5z)(9x²+16y²+25z²+12xy-15zx+20yz)

If x+y+z = 8 and xy+yz+zx =20, find the value of x³ +y³ +z³ -3xyz.

If a+b+c=9 and a²+b²+c²=35, find the value of a³ +b³ +c³ -3abc.

Evaluate :

(i) 25³ – 75³ + 50³

(ii) 48³ – 30³ - 18³

(iii)

(iv) (0.2)³ – (0.3)³ + (0.1)³