A pair of brackets can be expanded to give a quadratic expression.

It’s important to remember that when dealing with algebra problems both terms in the first bracket must be multiplied by both terms in the second bracket. You should always finish with four terms, e.g.

(x + 2)(x + 3) = x2 + 3x + 2x + 6

Since there are two x terms, the last step is to simplify by collecting the like terms:

x2 + 3x + 2x + 6 = x2 + 5x + 6

A very common error is to multiply only the x from the brackets together, and then the multiply only the numbers together.

This is WRONG! - (x + 2)(x + 3) = x2 + 6

As you can see, this would lose the x terms in the middle.

Now let's try on more example to make sure we have got this down!

(x + 7)(x + 2) = x+ 2x + 7x + 14

Now we can simplify by collecting the like terms:

x+ 2x + 7x + 14 = x2 + 9x + 14

Improve this description

Nothing in this section yet. Why not help us get started?

Add a Video Resource

Follow the links below to see how this topic has appeared in past exam papers


AQA Unit 2 March 2011 (H) - Page 5, Question 6(c)

Improve the Test Questions

Related Topics

Requires a knowledge of…

Little Bridge

Related Questions

All related questions