Question

Without actually calculating the cubes, find the value of(-17)³+(13)³+(4)³​

Answer 1

$\star \: \: { - 17}^{3} + {13}^{3} + {4}^{3} \\ \\ \implies \: {( - 17 + 13 + 4)}^{3} \\ \\ \implies \: {( - 17 + 17)}^{3} \\ \\ \implies \: {0}^{3} \\ \\ = \boxed 0$

Answer 2

As -17+13+4=0

So,we can use the formula 3abc.

That will be the solution of this question.

3*-17*13*4=-2652