Question 705709
Use the FOIL(first outer inner last) method: 

(2/3x + 8) (1/2x - 1) 
First: 2/3x times 1/2x = 1/3x^2 
Outer: 2/3x times -1 = -2/3x 
Inner: 8 times 1/2x = 4x 
Last: 8 times -1 = -8 

Combine: 1/3x^2 - 2/3x + 4x - 8 
Like terms: 1/3x^2 + 10/3 x - 8 <-- ANSWER