Question

Find the value of 75 cube - 35 cube - 40 cube

Answer 1

We know that if x+y+z=0
Then
$a {}^{3} + b {}^{3} + c {}^{3} = 3abc$
Here
75135-40=0
So reqd ans is 3x75x(-35)x(-40)
225x1400
=315000