Factoring simple special products

The  exercise appears under the Algebra II Math Mission. This exercise practices factoring quadratic expressions into the special products of the general forms $$(x+a)^2$$, $$(x-a)^2$$, and $$(x+a)(x-a)$$.

Types of problems
There is are three types of problems in this exercise:
 * 1) Match the quadratic expression with the correct factored expression.: This problem shows three quadratic expressions and user is asked to match all of them with the correct factored expression.
 * 2) What expression represents the length of the rectangle?: This problem has a rectangle with the area of $$x^2$$ = negative __, and user a width of x - __ meters. user is asked to find which expression represents the length of the rectangle.
 * 3) What is the value of __ and __?: This problem has an equation when __ and __ are both integers, and user is asked to find the value of them.

Strategies
Basic knowledge of quadratic expressions and special products are required for this exercise.
 * 1)  When user has a base being squared plus or minus twice the product of the two bases plus another base squared, it factors as the sum (or difference) of the bases being squared.
 * 2) The area of any rectangle is the product of its length $$l\times w$$.
 * 3) User's goal is to find the values of __ and __ that will make the following equation true.

Real-life Applications

 * 1) Problems like this will appear on standardized tests, like the SATs and ACTs.