Having looked at addition & subtraction of algebraic expressions. Let’s move onto multiplication & division. Let’s start off using the skills we learned in primary school.

Consider this: *What is* equal to*?*

Easy enough right? . Well, how did we get that answer? You probably did something like this:

Here we calculated what was inside the brackets first. You’ve been told to do this ever since you learned **BIDMAS** (*or BODMAS*).

Recall: ‘BIDMAS’ is an acronym which reminds us which order we apply operations;

Brackets, Indices, Division, Multiplication, Addition, Subtraction.

However this doesn’t always apply. For the above example, we can first multiply 2, *and 3*, by 5, **before** adding them together (calculating inside the **brackets**) like so:

*Notice how the 5 merges into the brackets*

Side note: This act of merging (multiplying) into the brackets only ever works if the brackets arenotraised to any number, but 1. i.e: *Check with a calculator.

Now let’s apply that same ‘merging’ to algebraic expressions.

Consider this: *Expand* .

Recall: In algebra we usually ‘drop’ the multiplication sign. This is done to make things look neater, and to avoid confusion between the symbols and . To indicate multiplication between things, we just place the two together.

Consider this: *Expand* .

All you really need to remember is too multiply *everything* in the brackets by what is outside of the brackets. A few more examples:

*Expand* .

*Expand* .

*Expand* .

To be continued…