Finding special products of binomials (basic)

The  exercise appears under the Algebra basics Math Mission. This practices finding perfect squares of the forms $$(x+a)^2$$ and $$(x-a)^2$$, and differences of squares of the form $$(x+a)(x-a)$$.

Types of problems
There are two types of problems in this exercise:
 * 1) Express (x + _)(x - _) in standard quadratic form.: This problem asks the user to express (x + _)(x - _)  in standard quadratic form.
 * 2) Find the values for integers ___ and ___ that makes the following equation true.: This problem has an equation and user is asked to find the values for integers ___ and ___ that make the equation true.

Strategies
Basic binomials and quadratics are needed for this exercise
 * 1) User needs to know that as a general rule for real values a and b: $$(x+a)(x+b) = x^2 + (a+b) x + ab$$
 * 2) In the second problem, user is asked to find the values of k and m that would make the equation true. They can start by expressing the product on the left-hand side of the equation in standard quadratic form. Then we can compare the two quadratic expressions on each side of the equation by matching the coefficients of terms that are alike.

Real-life Applications

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