Difference of Squares

Front

What is the Difference of Squares?

Back

The Difference of Squares is a mathematical identity that states: a² - b² = (a + b)(a - b). It applies to any two squares.

Front

Factor the expression: 25x² - 36y²

Back

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

Front

What is the first step in factoring a polynomial?

Back

The first step is to factor out the Greatest Common Factor (GCF) if there is one.

Front

Factor the expression: 18x² - 50

Back

2(3x + 5)(3x - 5)

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

Factor the expression: 4x²y² - 1

Back

(2xy + 1)(2xy - 1)

Front

Factor the expression: 9x² - 49y²

Back

(3x + 7y)(3x - 7y)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as a² + 2ab + b² = (a + b)².

Front

Factor the expression: 3x² - 75

Back

3(x + 5)(x - 5)

Front

What is the formula for factoring the Difference of Squares?

Back

The formula is a² - b² = (a + b)(a - b).