x = -12, y = 7, z = 5 x3+y3+z3 = 3xyz when x+y+z = 0 x+y+z = -12 + 7 + 5 = -12+12 = 0 x3+y3+z3 = 3xyz = 3*-12*7*5 = -36*35 = -1260 x = 28, y = -15, z = -13 x3+y3+z3 = 3xyz when x+y+z = 0 x+y+z = 28 + (-15) + (-13) = 28 - 28 = 0 x3+y3+z3 = 3xyz = 3*28*-15*-13 = 84*195 = 16,380

Solve this:

x = -12, y = 7, z = 5
x³+y³+z³ = 3xyz when x+y+z = 0.
  x+y+z = -12 + 7 + 5 = -12+12 = 0
  x³+y³+z³ = 3xyz
  = 3*-12*7*5
  = -36*35
= -1260

x = 28, y = -15, z = -13
x³+y³+z³ = 3xyz when x+y+z = 0.
x+y+z = 28 + (-15) + (-13) = 28 - 28 = 0
x³+y³+z³ = 3xyz
= 3*28*-15*-13
= 84*195
= 16,380

View Full Answer