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Question

Without actually calculating the cubes find the value of (9.8)3-(11.3)3+(1.5)3

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Solution

We have a equation


Recall that whenever (a+ b + c) = 0, a3 + b3 + c3 = 3abc


So here

(9.8)3-(11.3)3+(1.5)3


9.8-11.3+1.5=0

Therefore we can apply the above equation

a=9.8
b=-11.3
c=1.5

So the answer is

3×a×b×c=3×9.8×-11.3×1.5= -498.33

Hope you understood

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