G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

 

Year 10 Interactive Maths - Second Edition


Binomials

A binomial expression is an expression consisting of two terms.

Examples of binomial expressions


Product of Binomial Expressions

The product of two binomial expressions is called a binomial product. 

For example, (x + 2)(x + 8) is a binomial product.

The expansion (x + 2)(x + 8) can be considered as representative of the area of a rectangle of length (x + 8) units and width (x + 2) units.

The binomial product (x + 2)(x + 8) is illustrated in terms of the area of a rectangle.

This can be split up into two parts as follows:

The binomial product (x + 2)(x + 8) is illustrated in terms of two rectangular areas.

Expanding the binomial product using the area of two rectangles.

Algebraic Method

The algebraic method of expanding a binomial product using the Distributive Law.

Setting out:

Often, we set out the solution as follows:

The usual way of setting out the solution to expanding a binomial product using the Distributive Law.


Example 5

Example 5 involves expanding and simplifying binomial products.

Solution:

Use the Distributive Law to expand the binomial product, then collect like terms and write the solution with descending powers of x.

Use the Distributive Law to expand the binomial product, then collect like terms and write the solution with descending powers of p.

Use the Distributive Law to expand the binomial product, then collect like terms and write the solution with descending powers of a.


Key Terms

binomial expression, binomial product

 

Study Another Topic in Chapter 1: Algebraic Expressions

Expressions ] Multiplication ] The Distributive Law ] [ Binomials ] Difference of Two Squares ] Expanding Three Terms ] Perfect Squares ] Recognition of Perfect Squares ] Forming a Perfect Square ] Problem Solving ] Problem Solving Unit ] Symbols ] Index ]

 

Study Another Chapter
 

| Home Page | Order Software | About the Series | Maths Software Tutorials

| Year 7 Maths Software | Year 8 Maths Software | Year 9 Maths Software |

| Year 10 Maths Software | Home Software | Desktop Schools |

| Notebook Schools | Tutor Software | Software Platform | Trial Software |

| Feedback | Year 7 Maths Reading | Year 8 Maths Reading |

| Year 9 Maths Reading | Year 10 Maths Reading | About mathsteacher.com.au |

| Our Policies | Terms and Conditions | Links | Contact |

 

Our www.mathssoftware.co.nz Website is now available for New Zealanders.

 

Copyright © 2000-2009 mathsteacher.com Pty Ltd.  All rights reserved.

Australian Business Number 53 056 217 611

 

Please read the Terms and Conditions of Use of this Website and our Privacy and Other Policies.

If you experience difficulties when using this Website, tell us through the feedback form or by
phoning one of our contact telephone numbers.