In this section we consider how to expand (multiply out) brackets to give two or more terms, as shown below:
3 ( x + 6 ) = 3 x + 18 
If you are multiplying two items with the same sign together, the answer is positive.
For example, +2 × +5 = +10 and 2 × 5 = +10
If you are multiplying two items with different signs together, the answer is negative.
For example, +2 × 5 = 10 and 2 × +5 = 10
Practice Questions
Work out the answer to each of these questions then click on the button marked
to see whether you are correct.
(a) What is 7 × +4 ?
(b) What is 3 × 6 ?
(c) What is 4 × 9x ?
(d) What is 3(9  13) ? [HINT: 3(9  13) means 3 × (9  13)]
3 ( x  6 ) 
Practice Questions
Work out the answer to each of these questions then click on the button marked
to see whether you are correct.
(a) Expand the brackets in: 4(x  3)
(b) Expand the brackets in: 3(9  x)
(c) Expand the brackets in: 4(2x  12)
5x ( 2x + 6y ) 
Working: 5x × 2x = 5 × 2 × x × x = 10 × x² = 10x² 5x × 6y = 5 × 6 × x × y = 30 × xy = 30xy 
Practice Questions
Work out the answer to each of these questions then click on the button marked
to see whether you are correct.
(a) Expand the brackets in: 2x(x + 5)
(b) Expand the brackets in: 4x(x  y)
(c) Expand the brackets in: 7x(3y  2x)
