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  • Without actually calculating the cubes, find the value of the following: (ii) (28) ^ 3 + (- 15) ^ 3 + ( - 13) ^r 3

14.(ii) Without actually calculating the cubes, find the value of the following:
      (ii)   (28)^3 + (-15)^3 + (-13)^3

Answers (1)

best_answer

Given is   (28)^3 + (-15)^3 + (-13)^3

We know that   

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

Here, x = 28 , y = -15 \ \ an d \ \ z = -13

\Rightarrow x+y+z =28-15-13 = 0

Therefore,

(28)^3 + (-15)^3 + (-13)^3 = 3 \times (28)\times (-15) \times (-13) = 16380

Therefore, value of  (28)^3 + (-15)^3 + (-13)^3  is  16380

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