Question

Without actually calculating the cubes, find the values of
(1) (27)3 + (-17)3 + (-10)3
​

Answer 1

Answer:

13770

Step-by-step explanation:

a3+b3+c3=3abc

=3×27×(-17)×(-10)

Answer 2

Answer:

13770

Step-by-step explanation:

(27)3+(-17)3+(-10)3

If x+y+z = 0 then X3+y3+z3 = 3xyz

27+(-17)+(-10)=0 then

(27)3+(-17)3+(-10)3= 3*27*(-17)*(-10)

= 13770