Factoring out the GCF of an expression

The video tutorial explains how to factor expressions by first considering the difference of two squares method. When this method is not applicable, the tutorial demonstrates finding the greatest common factor (GCF) of the terms. The process involves dividing each term by the GCF to simplify the expression into its factored form. The tutorial emphasizes understanding the concept of rewriting an expression as a product.

Why can't the difference of two squares method be applied to the expression in the example?

• Because 19 is not a perfect square.

• Because the expression is already factored.

• Because both terms are perfect squares.

• Because X^3 is a perfect square.

What is the greatest common factor (GCF) of the terms in the example?

• 38

• X^3

• X^2

• 19

How do you determine the GCF of two terms?

• By finding the largest factor common to both terms.

• By adding the terms together.

• By multiplying the terms together.

• By subtracting one term from the other.

What is the result of dividing 19X^3 by the GCF?

• 19X^2

• X

• X^3

• 19

Why is the expression considered factored after dividing by the GCF?

• Because it is expressed as a difference.

• Because it is expressed as a product.

• Because it is expressed as a quotient.

• Because it is expressed as a sum.