GCF and Difference of Two Squares

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number, identify the common factors, and select the largest one.

Front

What is the difference of two squares?

Back

The difference of two squares is a special factoring pattern that states a^2 - b^2 = (a + b)(a - b).

Front

Factor the expression: 24c^5 - 12c^3.

Back

12c^3(2c^2 - 1).

Front

What is the GCF of 64 and 144?

Back

The GCF of 64 and 144 is 16.

Front

Factor the expression: 25x^2 - 36y^2.

Back

(5x + 6y)(5x - 6y).

Front

How do you factor a common term from an expression?

Back

To factor a common term, identify the greatest common factor of the terms and factor it out.

Front

Factor the expression: 10x + 15.

Back

5(2x + 3).

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for a common factor in all the terms.

Front

Factor the expression: x^2 - 5x.

Back

x(x - 5).