# 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.

## 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 forMultiplying 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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