GCF and Difference of Two Squares

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 24 and 56?

Back

8

Front

What is the GCF of 5x² and 20x?

Back

5x

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is the difference of two squares?

Back

The difference of two squares is a special factoring pattern that states: a² - b² = (a + b)(a - b).

Front

Factor the expression: x² - 9.

Back

(x + 3)(x - 3)

Front

Can you factor 49x² + 4y² using the difference of two squares? Why or why not?

Back

No, because it is an addition sign, and the difference of two squares only applies to subtraction.

Front

What is the formula for the difference of two squares?

Back

a² - b² = (a + b)(a - b) where a and b are any expressions.

Front

Factor the expression: 24c⁵ - 12c³.

Back

12c³(2c² - 1).