Algebra
Expanding Brackets
and
Simplifying
Algebra
So far we have looked at simplifying
expressions like
3x + 2y + 2x + 4y
collecting the like terms to make
5x + 6y
Algebra
We have also looked at expanding an
expression where brackets are involved
2x(2x + 3y)
To
4x2 + 5y
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)
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
Algebra
Then we collect the terms that are the
same together:
6x + 8 + 4xy + 6x
6x + 8 + 4xy + 6x
6x + 6x + 8 + 4xy
Algebra
Finally, we simplify if possible:
6x + 6x + 8 + 4xy
12x + 8 + 4xy