Question

using suitable identity evaluate (-32)3³+ (18) ³+ (4)³​

Answer 1

Let a=−32,b=18,c=14

We see that

a+b+c=−32+18+14=0

Now as we know that,

If a+b+c=0

then a

3

+b

3

+c

3

=3abc

So (−32)

3

+(18)

3

+(14)

3

=3(−32)(18)(14)

∴(−32)

3

+(18)

3

+(14)

3

=−24192