Distributive Property and Factoring

The video tutorial explains the distributive property, which states that a factor multiplied by a sum is equal to multiplying that factor by each addend and then adding the products. It provides algebraic expressions and examples to illustrate the concept. The tutorial demonstrates factoring expressions by identifying common factors and rewriting them in factored form. Two examples, 3X + 3Y and 18X + 27, are used to show the process of factoring and checking the results by redistributing. The lesson concludes with a summary of the factoring process.

What does the distributive property allow you to do with a factor and a sum?

• Multiply the factor by the sum directly

• Multiply the factor by each addend and then add the products

• Subtract the factor from the sum

• Add the factor to each addend

In the expression 3X + 3Y, what is the common factor that can be factored out?

• X

• Y

• 6

• 3

After factoring out the common factor in 3X + 3Y, what is the expression inside the parentheses?

• X + Y

• 3X + 3Y

• X - Y

• 3(X + Y)

What is the common factor in the expression 18X + 27?

• 18

• 9

• 6

• 3

How can you verify the factored form of 18X + 27?

• By dividing the expression by the common factor

• By subtracting the common factor from the expression

• By multiplying the common factor by each term inside the parentheses

• By adding the terms inside the parentheses