Finding Terms in a Binomial Expansion
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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 x3
4. Find the binomial expansion of 1/(1 + 4x)2 up to and including the term x3
5. Find the binomial expansion of √(1 - 2x) up to and including the term x3. 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 + 11/4x2 - 25/8x3.
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.
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
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 x3
4. Find the binomial expansion of 1/(1 + 4x)2 up to and including the term x3
5. Find the binomial expansion of √(1 - 2x) up to and including the term x3. By substituting in x = 0.001, find a suitable decimal approximation to √2
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
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 + 11/4x2 - 25/8x3.
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.
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