1. Expanding Brackets and Simplifying
Algebra
Expanding Brackets
and
Simplifying

2. Algebra So far we have looked at simplifying expressions like
3x + 2y + 2x + 4y
collecting the like terms to make
5x + 6y

3. Algebra
We have also looked at expanding an expression where brackets are involved
2x(2x + 3y) To
4x2 + 5y

4. Algebra
Now we are going to take it one step further. Often we will be presented with an expression that has two sets of brackets
2(3x + 4) + 2x(2y +3)

5. First we need to multiply out the brackets:
Algebra
This may look complicated but it is very simple, just use the rules we are learning.
First we need to multiply out the brackets:
2(3x + 4) + 2x(2y +3) +
6x + 8
4xy + 6x

6. Then we collect the terms that are the same together:
Algebra
Then we collect the terms that are the same together:
6x xy + 6x 6x
+ 8
+ 4xy
+ 6x 6x
+ 6x
+ 8
+ 4xy

7. Finally, we simplify if possible:
Algebra
Finally, we simplify if possible: 6x
+ 6x
+ 8
+ 4xy
12x
+ 8
+ 4xy