Related Topics:

More Lessons for A Level Maths

Math Worksheets

Examples, solutions, videos, activities, and worksheets that are suitable for A Level Maths.

The following diagram shows examples of Binomial Theorem. Scroll down the page for more examples of the Binomial Theorem.

**Core 4 Maths A-Level Edexcel - Binomial Theorem (1)**

Examples:

1. Find the first four terms in the binomial expansion of (1 + 2x)^{5}

2. Find the first four terms in the binomial expansion of (2 - x)^{6}
**Core 4 Maths A-Level Edexcel - Binomial Theorem (2)**

With negative and fractional n

Examples:

1. Find the first four terms in the binomial expansion of 1/(1 + x)

2. Find the first four terms in the binomial expansion of √(1 - 3x)

3. Find the binomial expansion of (1 - x)^{1/3} up to and including the term x^{3}

4. Find the binomial expansion of 1/(1 + 4x)^{2} up to and including the term x^{3}

5. Find the binomial expansion of √(1 - 2x) up to and including the term x^{3}. By substituting in x = 0.001, find a suitable decimal approximation to √2

**Core 4 Maths A-Level Edexcel - Binomial Theorem (3)**

Binomial theorem of form (ax+b) to the power of n, where n is negative or fractional.

Examples:

1. Use the binomial expansion to find the first four terms of √(4 + x)

2. Use the binomial expansion to find the first four terms of 1/(2 + 3x)^{2}

**Core 4 Maths A-Level Edexcel - Binomial Theorem (4)**

Partial fractions and binomial theorem

Example:

a) Express (4-5x)/(1+x)(2-x) as partial fractions.

b) Hence show that the cubic approximation of (4-5x)/(1+x)(2-x) is 2 - 7x/2 + 11/4x^{2} - 25/8x^{3}.

c) State the range of values of x for which the expansion is valid.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for A Level Maths

Math Worksheets

Examples, solutions, videos, activities, and worksheets that are suitable for A Level Maths.

The following diagram shows examples of Binomial Theorem. Scroll down the page for more examples of the Binomial Theorem.

Examples:

1. Find the first four terms in the binomial expansion of (1 + 2x)

2. Find the first four terms in the binomial expansion of (2 - x)

With negative and fractional n

Examples:

1. Find the first four terms in the binomial expansion of 1/(1 + x)

2. Find the first four terms in the binomial expansion of √(1 - 3x)

3. Find the binomial expansion of (1 - x)

4. Find the binomial expansion of 1/(1 + 4x)

5. Find the binomial expansion of √(1 - 2x) up to and including the term x

Binomial theorem of form (ax+b) to the power of n, where n is negative or fractional.

Examples:

1. Use the binomial expansion to find the first four terms of √(4 + x)

2. Use the binomial expansion to find the first four terms of 1/(2 + 3x)

Partial fractions and binomial theorem

Example:

a) Express (4-5x)/(1+x)(2-x) as partial fractions.

b) Hence show that the cubic approximation of (4-5x)/(1+x)(2-x) is 2 - 7x/2 + 11/4x

c) State the range of values of x for which the expansion is valid.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

[?] Subscribe To This Site