Question

without actual calculating the cubes , find the (28)3+(_15)3+(-13)3 ​

Answer 1

Answer:

We know that ,

If x + y + z = 0 , then x³ + y³ + z³ = 3xyz

Here ,

x = 28 , y = -15 , z = -13

x + y + z

= 28 - 15 - 13

= 0

( 28 )³ + ( -15 )³ + ( -13 )³

= 3xyz

= 3 × ( 28 ) × ( -15 ) × ( -13 )

= 16380

( 28 )³ + ( -15 )³ + ( -13 )³ = 16380