Question

simplify using suitable identity: (-32)*3+(14)*3+(18)*3

Answer 1

If a + b + c = 0 then a^3 + b^3 + c^3 = 3abc.

Given Equation is in the form of
a^3 + b^3 + c^3 where a = -32, b = 18 ,c = 14.

(-32)^3 + 18^3 + 14^3 = 3 * (-32) * (18) * (14)

= -24192.

Hope you understand.