Question

1/2 whole cube + 1/3 whole cube - 5/6 whole cube without actual calculating the cubes find the value of each of the following​

Answer 1

Answer:

Let a = 1/2, b= 1/3, c= -5/6

If a+ b+ c=0 then, a³ + b³ + c³ = 3abc [Identity]

a + b + c = 1/2 + 1/3 + (-5/6)

            = (3 + 2 -5) / 6              

            = (5-5) / 6

             = 0/6

              = 0

Therefore, a³ + b³ + c³ = 3abc

                                    = 3(1/2)(1/3)(-5/6)

                                   = -5/12 = -0.4167

Hope it helps You....

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