Given the exression:
[tex]\frac{x-1}{x+4}-\frac{4x-11}{x+4}[/tex]
Let's solve the expression and identify the error.
Since both expressions have the same denominator, let's combine the numerators:
[tex]\frac{(x-1)-(4x-11)}{x+4}[/tex]
Apply distributive property:
[tex]\begin{gathered} \frac{x-1-4x-(-11)}{x+4} \\ \\ \frac{x-1-4x+11}{x+4} \end{gathered}[/tex]
Combine like terms in the numerator:
[tex]\begin{gathered} \frac{x-4x-1+11}{x+4} \\ \\ \frac{-3x+10}{x+4} \end{gathered}[/tex]
The error in the problem was that distributive property was not applied when the numerators were combined.
ANSWER:
[tex]\frac{-3x+10}{x+4}[/tex]
