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How would I answer and what would be the answer?

How would I answer and what would be the answer?-example-1
User Canacourse
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1 Answer

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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)

User Rburmorrison
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