# How to Multiply two Binomials Using Algebra Tiles?

One of the effective methods for visualizing the distributive property of multiplying binomials is the use of algebraic tiles. Algebra tiles are a visual tool that helps students who need to understand algebraic processes better. Here, we teach step-by-step how to multiply binomials using algebra tiles.

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

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