Quandaries and Queries


Who is asking: Other
Level of the question: Middle

Question: Factor 18x3 y3 + 12xy2




I will do a similar problem.

Factor 7a2 b - 14 a2 b4

The first thing you should look for when factoring is any expressions that are common to all the terms. In this problem there are 2 terms

7a2 b


14 a2 b4

There is an a2 in both terms, there is also a b in both terms and since 14 = 2 7 there is a 7 common to both terms. Thus you have a common factor of

7 a2 b

and hence

7a2 b - 14 a2 b4 = 7 a2 b (1 - 2 b3 )