Edexcel A Level Maths: Pure

Topic Questions

A LevelMaths: PureEdexcelTopic Questions2. Algebra & Functions2.6 Rational Expressions (A Level only)

2.6 Rational Expressions (A Level only)

1

3 marks

Simplify

(i)

\frac{x^{2}}{x}

(ii)

\frac{x (x - 1)}{x}

(iii)

\frac{6 x + 2}{2}

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1

6 marks

Simplify fully

(i)

\frac{x + 3}{x^{2} + 3 x}

(ii)

\frac{x^{3} + x}{x^{4}}

(iii)

\frac{x^{3} + 3 x^{2} - 4 x}{x^{4} - x^{3}}

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1

4 marks

Simplify

(i)

\frac{x}{2 x}

(ii)

\frac{x + 1}{x (x + 1)}

(iii)

\frac{6 x + 12}{x^{2} + 2 x}

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1

8 marks

Simplify fully

(i)

\frac{x^{2} + 5 x}{x^{3} + 3 x^{2} - 10 x}

(ii)

\frac{x^{2} - 4}{x^{4} - 16}

(iii)

\frac{(x + 2)^{2} + (x + 2) (x + 4)}{x^{2} + 5 x + 6}

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