Factoring Difference of Squares

Front

What is the difference of squares formula?

Back

a^2 - b^2 = (a - b)(a + b)

Front

Fully factor 25x² - 81.

Back

(5x + 9)(5x - 9)

Front

Fully factor 4x² - 9.

Back

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

Front

Fully factor 49n² - 25.

Back

(7n + 5)(7n - 5)

Front

Fully factor x² - 400.

Back

(x - 20)(x + 20)

Front

Which expression can be factored using the difference of squares? 144x² - 49y², x² + 4x - 12, 100x² + 20x + 1, 14x - 16

Back

144x² - 49y²

Front

What is a perfect square trinomial?

Back

An expression of the form a² + 2ab + b² = (a + b)² or a² - 2ab + b² = (a - b)².

Front

What is the first step in factoring a difference of squares?

Back

Identify the two perfect squares in the expression.

Front

What does it mean for an expression to be factorable?

Back

It can be expressed as a product of two or more factors.

Front

Provide an example of a difference of squares.

Back

x² - 16 = (x - 4)(x + 4)