Question

find the value of 25 cube + 8 cube + (-33) cube without actually calculating the cubes

Answer 1

We know that if x+y+z=0, then x^2+y^2+z^2=3xyz

Let's take x=25
y=8
z=-33
So, x+y+z=25+8+(-33)=0
Therefore 25^3+8^3+(-33)^3=3×25×8×(-33)=−19800

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