To solve the expression, (x-2)(2x+3), you fill the the blank space with the right algebra tiles so it fills up the whole area. You also use distributive property by multiplying each number with the numbers that are enclosed in the other brackets. For example, you would multiply x with 2x and then with 3. Then you would multiply -2 with 2x and then with 3. That would complete the distributive property process. After, you simplify any numbers with the same variables and degree until you get a trinomial.

Result after solving the equation with algebra tiles.

This picture shows a trinomial, 2+3x+1, and I have to factor it so I have 2 separate binomials. I would use the different types of algebra tiles to see which ones would fit in the row and column beside the given tiles.

Result of using different algebra tiles to come up with the final answer, (x+1)(2x+1), which comes up with the exact same answer 2+3+1 after using distributive property and simplifying.