To find the answer for this question: 
x^2 + 8x 15/x - 4xx^2 - 16/2x + 6 
Apply the exponent rule: 
x^2 + 8x + 15/x - 4x^3 - 16/2x + 6 
Divide the numbers: 16/2 = 8: 
x^2 + 8x + 15/x - 4x^3 - 8/x + 6 
Apply the rule: a/c +/- b/c = a +/- b/c 
x^2 + 8x + 15-8/x - 4x^3 + 6 
After you subtract the numbers: 15 - 8 from the fraction that equals to 7: 
x^2 + 8x + 7/x - 4x^3 + 6 
So, your answer would be: x^2 + 8x + 7/x - 4x^3 + 6.