Question

without actually calculating cubes find the value of 55 cube -25 cube -30 cube

Answer 1

Answer:

123750

Step-by-step explanation:

Let      a= 55

          b= -25

          c= -30

If x+y+z= 0, then x^3+y^3+z^3 = 3xyz

Here, 55+ (-25)+ (-30)= 55 - 25 - 30 = 0

Therefore, (55)^3 - (25)^3 - (30)^3 = 3(55)(-25)(-30)

                                                        = 3*41250

                                                        = 123750

HOPE IT HELPS