Compute \(\large \left( 2\sqrt [ 3 ]{ 5 } -\sqrt [ 3 ]{ 2 } \right) \left( 4\sqrt [ 3 ]{ 25 } +2\sqrt [ 3 ]{ 10 } +\sqrt [ 3 ]{ 4 } \right)\)
Expanding:
8 cbrt125 + 4 cbrt 50 + 2 cbrt 20 - 4 cbrt 50 - 2 cbrt20 - cbrt 8 =
8(5) - 2 = 38