Numbers & Algebra

1:

When x + y + z = 9 and xy + yz + zx = 11, then x3 - y3 - z3 - 3xyz equals

A.

384

B.

192

C.

432

D.

48

 

Answer : C

Explanation :

x3 - y3 - z3 - 3xyz = (x+y+z)(x2+y2+z2-xy-yz-zx) = 9[(x + y + z)2 - 3(xy + yz + zx)] = 9(81 - 33) = 432.

Write your comments here:


Report Error
 

Option: A

Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here.