Finding special products of binomials (advanced)

The  exercise appears under the Algebra I Math Mission. This exercise practices finding special products (perfect squares and difference of squares) of "advanced" binomials: binomials with leading coefficients other than 1; binomials with higher degrees; and binomials with two variables.

Types of problems
There are two types of problems in this exercise:
 * 1) Express the area of the entire rectangle below as a trinomial.: This has a rectangle and user is asked to express the area of it as a trinomial.
 * 2) Which equation has the same solution as ___ =  ___ ?: This problem has an equation and user is asked to find which other equation has the same value.

Strategies
Knowledge of binomials and products are needed to have success while doing this exercise.
 * 1) The area of any rectangle is the product of its two dimensions, which we can refer to as length and width.
 * 2) The expression on the left-hand side of the equation is a product of two binomials. We can replace the two terms with their product and obtain an equivalent equation (which means it will have the same solutions).

Real-life Applications

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