Exploring Area Model for Multiplying Binomials

The video tutorial explains how to multiply two binomials using the area model. It begins by introducing the concept and labeling the dimensions of the area model. The tutorial then demonstrates how to multiply the terms to find the area components and combines like terms to simplify the expression. Finally, it shows the equivalence of the area as a product and as a sum, confirming that the multiplication of the binomials results in the same area when expressed as a sum of its parts.

What is the first step in multiplying binomials using the area model?

• Labeling the length and width

• Calculating the product of the terms

• Drawing individual algebra tiles

• Combining like terms

How is the length labeled in the area model?

• 3x + 2

• 2x + 5

• 2x + 3

• 5x + 2

What is the width labeled as in the area model?

• 2x + 3

• 3x + 2

• 5x + 2

• 2x + 5

What is the result of multiplying 2x by 3x?

• 5x

• 6x

• 6x^2

• 5x^2

What is the product of 3x and 5?

• 15x

• 10x

• 8x

• 12x

What do you get when you multiply 2 by 2x?

• 8x

• 6x

• 4x

• 2x

What is the sum of the areas 6x^2, 15x, 4x, and 10?

• 6x^2 + 19x + 4

• 6x^2 + 19x + 14

• 6x^2 + 15x + 4x + 10

• 6x^2 + 19x + 10

What is the final equivalent expression for (2x + 5)(3x + 2)?

• 6x^2 + 15x + 10

• 6x^2 + 19x + 4

• 6x^2 + 19x + 10

• 6x^2 + 15x + 4x + 10