14.(i)  Without actually calculating the cubes, find the value of each of the following:
      (i)  (-12)^3 + (7)^3 + (5)^3

Answers (1)
R Riya

Given is   (-12)^3 + (7)^3 + (5)^3

We know that   

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

Here, x = -12 , y = 7 \ \ an d \ \ z = 5

\Rightarrow x+y+z = -12+7+5 = 0

Therefore,

(-12)^3 + (7)^3 + (5)^3 = 3 \times (-12)\times 7 \times 5 = -1260

Therefore, value of  (-12)^3 + (7)^3 + (5)^3  is  -1260

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