Question

without calculating the cube find (-34)3+(19)3+(15)3

Answer 1

Let a = -34

      b = 19

       c = 15

a + b + c = -34 + 19 +15

a + b + c = 0

a³ + b³ + c³ = 3abc

(-34)³ + (19)³ + (15)³ = 3(-34)(19)(15)

                                  =  -29070

since a + b + c = 0