Difference of Squares

Front

What is the Difference of Squares formula?

Back

The Difference of Squares formula states that a² - b² = (a + b)(a - b).

Front

Factor the expression: 49x² - 16

Back

(7x + 4)(7x - 4)

Front

Factor the expression: 25x² - 81

Back

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

Front

Factor the expression: r² - 9t²

Back

(r + 3t)(r - 3t)

Front

Factor the expression: 4x² - 9

Back

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

Front

Factor the expression: 4x² - 25

Back

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

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression of the form a² ± 2ab + b², which factors to (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

Provide an example of a difference of squares.

Back

Example: 36 - x² = (6 + x)(6 - x)