Simplifying rational expressions by algebraic division – Hard (A Level Only)

Last updated: 04/10/2021

A-Level Maths Algebra and Functions Simplifying rational expressions by algebraic division – Hard (A Level Only)

For the teaching video to learn this skill and see lots of worked examples, watch the video over on YouTube.

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Algebra and Functions

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Laws of indices – Easy (AS Level)

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Surds – Easy (AS Level)

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Solving linear and quadratic inequalities graphically – Easy (AS Level)

Solving linear and quadratic inequalities graphically – Medium (AS Level)

Solving linear and quadratic inequalities graphically – Hard (AS Level)

Simplifying rational expressions by algebraic division – Easy (A Level Only)

Simplifying rational expressions by algebraic division – Medium (A Level Only)

Simplifying rational expressions by algebraic division – Hard (A Level Only)

Sketching the graphs of functions to solve equations – Easy (A Level Only)

Sketching the graphs of functions to solve equations – Medium (A Level Only)

Sketching the graphs of functions to solve equations – Hard (A Level Only)

Sketching the graphs of functions to solve equations – Easy (AS Level)

Sketching the graphs of functions to solve equations – Medium (AS Level)

Sketching the graphs of functions to solve equations – Hard (AS Level)

Inverse functions and composite functions and decomposition of rational functions into partial fractions – Easy (A Level Only)

Inverse functions and composite functions and decomposition of rational functions into partial fractions – Medium (A Level Only)

Inverse functions and composite functions and decomposition of rational functions into partial fractions – Hard (A Level Only)

Coordinate Geometry

9 Quizzes

Equations of straight lines – Easy (AS Level)

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Equation of a circle – Easy (AS Level)

Equation of a circle – Medium (AS Level)

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Parametric equations of curves – Easy (A Level Only)

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Sequences and Series

8 Quizzes

Binomial expansion and Pascal’s triangle – Easy (AS Level)

Binomial expansion and Pascal’s triangle – Medium (AS Level)

Arithmetic progressions – Easy ( A Level Only)

Arithmetic progressions – Medium (A Level Only)

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Geometric progressions – Easy (A Level Only)

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Trigonometry

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Trigonometry (sine rule, cosine rule and the formula for the area of a triangle) – Easy (AS Level)

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Radians – Easy (A Level Only)

Radians – Medium (A Level Only)

Radians – Hard (A Level Only)

Trigonometric equations – Easy (AS Level)

Trigonometric equations – Medium (AS Level)

Trigonometric equations – Hard (AS Level)

Trigonometric equations – Easy (A Level Only)

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Trigonometric identities to solve equations – Easy (A Level Only)

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Trigonometric identities to solve equations – Hard (A Level Only)

Exponentials & Logarithms

3 Quizzes

Laws of logarithms – Easy (A level only)

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Differentiation

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First and second derivatives – Easy (AS Level)

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First and second derivatives – Easy (A Level only)

First and second derivatives – Medium (A Level Only)

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Tangents and normals – Medium (AS Level)

Tangents and normals – Hard (AS Level)

Minima and maxima – Easy (AS Level)

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Differentiate using the product rule – Easy (A Level Only)

Differentiate using the product rule – Medium (A Level Only)

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Differentiate using the quotient rule – Easy – (A Level Only)

Differentiate using the quotient rule – Medium – (A Level Only)

Differentiate using the quotient rule – Hard – (A Level Only)

Integration

6 Quizzes

Integrate standard functions – Easy (AS Level)

Integrate standard functions – Medium (AS Level)

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Integrate standard functions – Easy (A Level Only)

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Vectors

9 Quizzes

Vector equations – Easy (AS Level)

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Vector diagrams – Easy (AS Level)

Vector diagrams – Medium (AS Level)

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Vector magnitude & direction – Easy (AS Level)

Vector magnitude & direction – Medium (AS Level)

Vector magnitude & direction – Hard (AS Level)

Mechanics

Kinematics

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Kinematic graphs – easy – (AS Level)

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Motion under gravity – easy – (A Level Only)

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Motion under gravity – Hard – (A Level Only)

The formulae for constant acceleration (SUVAT Equations) – Easy (AS Level)

The formulae for constant acceleration (SUVAT Equations) – Medium (AS Level)

The formulae for constant acceleration (SUVAT Equations) – Hard (AS Level)

Forces & Newton’s Laws

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Newton’s first law – Easy – (AS Level)

Newton’s first law – Medium – (AS Level)

Newton’s first law – hard – (AS Level)

Newton’s second law – Easy – (AS Level)

Newton’s second law – medium – (AS Level)

Newton’s second law – hard – (AS Level)

Newton’s third law – Easy – (AS Level)

Newton’s third law – Medium – (AS Level)

Newton’s third law – Hard – (AS Level)

Statistics

Data Presentation & Interpretation

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Tree diagrams – Easy (AS Level)

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Venn Diagrams – Easy (AS Level)

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Normal Distribution – Easy (A Level only)

Normal Distribution – Medium (A Level only)

Normal Distribution – Hard (A Level only)

Binomial Distribution – Easy (A Level Only)

Binomial Distribution – medium (A Level Only)

Binomial Distribution – Hard (A Level Only)

Probability

6 Quizzes

Linear Regression – Easy (AS Level)

Linear Regression – Medium (AS Level)

Linear Regression – Hard (AS Level)

Grouped Data – Easy – (AS Level)

Grouped Data – Medium – (AS Level)

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