Question

without calculating the cubes find the value of (-12)^3+(7)^3+(-5)^3​

Answer 1

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

Here ,

12 + (-7) + (-5) = 0

Therefore , x^3+y^3+z^3 = 3xyz = 3×12×(-7)×(-5)= 36 × 35 = 1260