Question

Using suitable identity, evaluate (-32)^3+(18)^3+(14)^3

Answer 1

Let, (-32)=a
(18)=b
(14)=c
so, a^3+b^3+c^3

-32+18+14
=-14+14
=0

if a+b+c=0
then, a^3+b^3+c^3=3abc

=>(-32)^3+(18)^3+(14)^3
=>3{(-32)+18+14}
=>0



hope it helps........