FACTORISATION USING COMMON FACTOR

Common Factor
Factorising the common factor out from any expressions would always be the first method we would all try to use. It is simple and efficient but can only be used for expressions with not more than two terms in the expression. An example would be:

44b2+33ab
For the above expression, we can see that there is a common factor of b and 11. So, we would have to take it out of the expression.
44b2+33ab
= 11b(4b+3a)
Thus, we can see that the factorized form of 44b2+33ab is 11b(4b+3a).
Another example would be:
21ab-28ac
From the above expression, we know that there is a common factor of 7 and a. We would have to factor those two out and thus giving us an expression as such:
21ab-28ac
=7a(3b-4c)
Thus, we can see that the factorized form of 21ab-28ac is 7a(3b-4c).