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

How do you factor the expression x² - 81?

Back

x² - 81 can be factored as (x - 9)(x + 9) using the Difference of Squares formula.

Front

What is the factored form of 4x² - 25?

Back

4x² - 25 can be factored as (2x - 5)(2x + 5) using the Difference of Squares formula.

Front

Factor the expression 49n² - 25.

Back

49n² - 25 can be factored as (7n - 5)(7n + 5) using the Difference of Squares formula.

Front

What is the factored form of m² - 36?

Back

m² - 36 can be factored as (m - 6)(m + 6) using the Difference of Squares formula.

Front

How do you factor q² - 121?

Back

q² - 121 can be factored as (q - 11)(q + 11) using the Difference of Squares formula.

Front

What types of expressions can be factored using the Difference of Squares?

Back

Expressions that can be written in the form a² - b², where both a and b are perfect squares.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

Can the Difference of Squares be applied to polynomials?

Back

Yes, the Difference of Squares can be applied to polynomials that fit the a² - b² form.

Front

What is the first step in factoring a Difference of Squares expression?

Back

Identify the two perfect squares in the expression.