What is the value of the following expression?
​$$(-20)^3+(13)^3+(7)^3$$​​

Correct option is B

Given:

​$$(-20)^3 + (13)^3 + (7)^3$$​

Concept Used:

a$$^3 + b^3 + c^3$$​ = 3abc

if a + b + c = 0

Solution:

-20 + 13 + 7 = 0

= 3 (-20) (13) (7)

= 3 × (−20) × 13 × 7

= 3 × (-260) × 7

= 3 × (−1820)

= −5460