Question

How would I answer and what would be the answer?

Answer 1

Given the exression:

`(x-1)/(x+4)-(4x-11)/(x+4)`

Let's solve the expression and identify the error.

Since both expressions have the same denominator, let's combine the numerators:

`((x-1)-(4x-11))/(x+4)`

Apply distributive property:

`\begin{gathered} (x-1-4x-(-11))/(x+4) \\ \\ (x-1-4x+11)/(x+4) \end{gathered}`

Combine like terms in the numerator:

`\begin{gathered} (x-4x-1+11)/(x+4) \\ \\ (-3x+10)/(x+4) \end{gathered}`

The error in the problem was that distributive property was not applied when the numerators were combined.

ANSWER:

`(-3x+10)/(x+4)`