Factoring a Quadratic Expression having two terms

Introduction
Quadratic expressions with two terms can either have the form ax2 + bx or ax2 + c. While the former can be solved by taking common factors, the latter can be solved by applying a special math property called the difference of two squares.

Note that the property of difference of two squares can only be applied if the given quadratic expression of two terms is itself a difference of two square terms, or becomes one after factoring by taking the common factor.

You will be more clear with this topic once you study the solved examples discussed for each method. Click on the links below to read the methods:

Methods:
Solved examples and exercise
Furthermore, the sums on factoring can get more complex if they involve both of the above methods in solving them. Such questions, along with some others on factoring quadratic expressions with two terms are illustrated as solved examples here:
In order to practice further on factoring quadratic expressions with two terms, you can try to solve the following exercise. Solutions can be viewed by clicking on "Show solution" link in front of each question.

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