| © 2006 Rasmus ehf |
Factorising |
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Lesson 3.
Let's look at some typical examples.
| 4xy
- x2
+ 2yx= |
x
is common to each term |
| x(4y
-x + 2y) |
It is factored out of the expression and placed outside the brackets. |
| -2ac +
4abc - 8a2b = |
2
and a
are the common factors.. |
| 2a(-c
+ 2bc - 4ab) |
The greatest common factor is
2a
and is taken outside the brackets. |
| 12x2
- 48= |
12
is common to both terms |
| 12(x2
- 4) |
12
is placed outside the brackets. |
| 12(x2
- 4)= |
This expression
can be further factored |
| 12(x
- 2)(x + 2) |
into 2 sets of
brackets. |
| x2
+ 1 + y2 |
This
expression cannot be factorised. |
Try Quiz 3 on Factorising. If you score
80% or higher, go to the next topic.