# Exam Style Question

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

### Algebra

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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