3.11 Coping with Brackets

A bracket is yet another layer of ‘glue’ to be unstuck when solving an equation or transposing a formula.

The general rule is:
• get rid of any fractions outside the brackets first

then
• multiply out the brackets

then
• get rid of any fractions which are inside the brackets

then
• do any moving terms about from one side to the other.

If various terms are inside a bracket, you cannot get at them individually until after you have multiplied the bracket out.

Using another analogy:

Stuff inside a bracket is like money in your pocket. You can’t see how much you’ve got until it’s out of the pocket and on the table.

When multiplying out brackets, remember that everything inside the bracket gets multiplied by whatever is immediately outside. If it is a negative number that’s outside, then the signs inside will change as you go.