Question

21. Without actually calculating the cubes. Evaluate
$14 {}^{3} + 13 {}^{3} - 27 {}^{3}$
​

Answer 1

Answer:

ans. 16380

Step-by-step explanation:

We know that,

If (a+b+c)=0, then a

3

+b

3

+c

3

=3abc

Here, 28+(−15)+(−13)=0

∴(28)

3

+(−15)

3

+(−13)

3

=3(28)(−15)(−13)=16380

Answer 2

Answer:

We know that,

If (a+b+c)=0, then a

3

+b

3

+c

3

=3abc

Here, 28+(−15)+(−13)=0

∴(28)

3

+(−15)

3

+(−13)

3

=3(28)(−15)(−13)=16380