To simplify this expression, we first need to find a common denominator for the fractions.
The common denominator for the first fraction is 3x, and for the second fraction is 2x.
So, the expression becomes:
((3x)(х-1) + 12(3x) + (2x)(2) - x) / (3x)(2x) + 8(3x)
Expanding:
(3x^2 - 3x + 36x + 4x - x) / 6x^2 + 24x
Combining like terms:
(3x^2 + 36x - x) / 6x^2 + 24x
Further simplifying:
(3x^2 + 35x) / 6x^2 + 24x
Therefore, the simplified expression is (3x^2 + 35x) / 6x^2 + 24x.
To simplify this expression, we first need to find a common denominator for the fractions.
The common denominator for the first fraction is 3x, and for the second fraction is 2x.
So, the expression becomes:
((3x)(х-1) + 12(3x) + (2x)(2) - x) / (3x)(2x) + 8(3x)
Expanding:
(3x^2 - 3x + 36x + 4x - x) / 6x^2 + 24x
Combining like terms:
(3x^2 + 36x - x) / 6x^2 + 24x
Further simplifying:
(3x^2 + 35x) / 6x^2 + 24x
Therefore, the simplified expression is (3x^2 + 35x) / 6x^2 + 24x.