## Exam-Style Question on Algebra## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 299. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

The expression below can be written as a single fraction in the form \( \frac{a-bx}{x^2-25} \) where \(a\) and \(b\) are integers.

$$ \frac{x-4}{x-5} - 2 + \frac{x+1}{x+5}$$Work out the value of \(a\) and the value of \(b\).

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