4x/(x+1) - (x-3)/(x+1)
First, combine the fractions by finding a common denominator:
4x(x-1) - (x-3) / (x+1)
Next, distribute the numerator in the first fraction:
4x^2 - 4x - x + 3 / (x+1)
Combine like terms in the numerator:
4x^2 - 5x + 3 / (x+1)
Therefore, the simplified expression is:
(4x^2 - 5x + 3) / (x+1)
4x/(x+1) - (x-3)/(x+1)
First, combine the fractions by finding a common denominator:
4x(x-1) - (x-3) / (x+1)
Next, distribute the numerator in the first fraction:
4x^2 - 4x - x + 3 / (x+1)
Combine like terms in the numerator:
4x^2 - 5x + 3 / (x+1)
Therefore, the simplified expression is:
(4x^2 - 5x + 3) / (x+1)