How to Multiply two Binomials Using Algebra Tiles?

Related Topics

• How to Multiply Binomials? (+FREE Worksheet!)

A step-by-step guide to Multiply two Binomials Using Algebra Tiles 

Step 1: First, write the two binomials to be multiplied in two separate parentheses.

Step 2: Consider a rectangle for each term in the first binomial and show them with algebraic tiles.

Step 3:  In the next step, consider a rectangle for each term in the second binomial and represent them with an algebraic tile.

Step 4: Multiply using the distributive property. For this, consider a rectangle of the first binomial and a rectangle of the second binomial.

Step 5: Multiply the labels on the rectangles and put the answer in a new rectangle. Repeat the same procedure for the remaining rectangles.

Step 6: For the last step, you have to combine all the rectangles to find the final answer.

Multiplying two Binomials Using Algebra Tiles-Example 1

Use algebra tiles to simplify: \((x-3)(2x+2)\).

Solution: Set up the grid as follow:

Here, cross out two \(x\) tiles on the first column and do the same on the second column.

Count the like terms inside the grid. Since the number of \(x^2\) tiles\(=2\), the number of \(-x\) tiles\(=4\), and the number of \(-1\) tiles \(6\), then, sum the like terms inside the grid. So, \(2x^2-4x-6\)

Exercises for Multiplying two Binomials Using Algebra Tiles

1.Use algebra tiles to simplify: \((2x-1)(2x+3)\).

2.Use algebra tiles to simplify: \((x+2)(3x+3)\).

1.\(4x^2+4x-3\)

2.\(3x^2+9x+6\)