Difference of Squares

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)

Front

Factor the expression: 25x⁴ - 81y².

Back

(5x² + 9y)(5x² - 9y)

Front

Factor the expression: 81 - 400q².

Back

(9 - 20q)(9 + 20q)

Front

Factor the expression: 16r² - 196.

Back

(4r - 14)(4r + 14)

Front

Factor the expression: 81c² - 100.

Back

(9c - 10)(9c + 10)

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 a perfect square?

Back

An expression is a perfect square if it can be expressed as the square of a binomial.

Front

Provide an example of a difference of squares.

Back

Example: 36 - x² = (6 - x)(6 + x)

Front

What is the result of factoring a² - 16?

Back

(a - 4)(a + 4)

Front

How do you recognize a difference of squares?

Back

Look for two terms that are both perfect squares separated by a minus sign.