Simplify the following:
3 x^2 (3 x - 6/x)
Put each term in 3 x - 6/x over the common denominator x: 3 x - 6/x = (3 x^2)/x - 6/x:
3 x^2 (3 x^2)/x - 6/x
(3 x^2)/x - 6/x = (3 x^2 - 6)/x:
3 x^2 (3 x^2 - 6)/x
Combine powers. (3 x^2 (3 x^2 - 6))/x = 3 x^(2 - 1) (3 x^2 - 6):
3 x^(2 - 1) (3 x^2 - 6)
2 - 1 = 1:
3 x (3 x^2 - 6)
Factor 3 out of 3 x^2 - 6:
3 x×3 (x^2 - 2)
3×3 = 9:
Answer: 9 x (x^2 - 2)