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What you need to know
What you need to know:
The first thing that’s you must understand about expanding (another word for multiplying out) brackets, is that if you ever see a number, algebraic term, or algebraic expression written directly before a bracket, such as 5(4 + b), then this denotes a multiplication of everything inside the bracket by what’s in front of it.
So, when you are expanding single brackets, you must make sure the first term is multiplied by all terms inside. For example
2a(4 + 3b) = 2a \times 4 + 2a \times 3b = 8a + 6ab
When expanding double brackets, like in the example below, the principle is the same, except that there are now multiple terms we must multiply each term in the right-hand bracket by. You should become very familiar with (and for some people it helps to draw lines between individual terms to remember what you have/haven’t yet done) the following kind of expansion:
(a + 2)(a - 5) = a \times a + 2 \times a - 5 \times a - 5 \times 2 = a^2 - 3a - 10
Multiplying Out Single and Double Brackets Revision and Worksheets
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