Year 10 - Maths
The product of three binomials
Algebraic manipulation
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In algebraic manipulation, pupils use apply knowledge of the distributive law to find the product of two binomaials in order to factorise quadratics.
Lesson Summary
You will learn to use the distributive law to find the product of three binomials.
Key Notes
- The distributive law can be used to find the product of three (or more) binomials.
- This can be done by finding the product of two of the binomials first.
- The commutative law allows you to choose which two of the binomial expressions to find the product of first.
- Sometimes your choice can reduce the complexity.
Vocabulary To Learn
- Binomial: A binomial is an algebraic expression representing the sum or difference of exactly 2 unlike terms.
- Distributive law: The distributive law says that multiplying a sum is the same as multiplying each addend and summing the result.
Common Mistakes To Avoid
- The first two binomials have to be multiplied first.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The distributive law can be used to find the product of three (or more) binomials. This can be done by finding the product of two of the binomials first.
2. Use this key word in a maths sentence and explain it clearly. 'Binomial'
A binomial is an algebraic expression representing the sum or difference of exactly 2 unlike terms. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: The first two binomials have to be multiplied first. Correction: Look for features of the binomials that suggest which binomials will be easiest to multiply first. Any order will give the same final product but a particular order may reduce complexity.
More Lessons In This Unit
- Advanced problem solving with algebraic manipulation Study Guide
- Checking and securing understanding of changing the subject Study Guide
- Checking and securing understanding of expanding a single bracket Study Guide
- Checking and securing understanding of factorising Study Guide
- Checking and securing understanding of forming linear equations Study Guide
- Checking and securing understanding of simplifying Study Guide
- Checking and securing understanding of solving and interpreting linear equations Study Guide
- Checking and securing understanding of substitution Study Guide
- Checking and securing understanding of the product of two binomials Study Guide
- Factorising a quadratic expression Study Guide
- Factorising quadratics of the form ax^2 + bx + c Study Guide
- Factorising using the difference of two squares Study Guide
- Further algebraic terminology Study Guide
- Problem solving with algebraic manipulation Study Guide
- Solving complex quadratic equations by completing the square Study Guide
- Solving quadratic equations by completing the square Study Guide
- Solving quadratic equations by factorising Study Guide
- Solving quadratic equations by factorising where rearrangement is required Study Guide
- Solving quadratic equations by using the formula Study Guide
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