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: 16r² - 196.

Back

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

Front

Find the factors of 81 - 25w².

Back

(9 - 5w)(9 + 5w)

Front

Is x² + 81 factorable?

Back

It's prime.

Front

Factor the expression: 4w² - 49.

Back

(2w - 7)(2w + 7)

Front

Factor the expression: 81 - 400q².

Back

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

Front

What type of polynomial is x² + 81?

Back

It is a sum of squares and cannot be factored over the reals.

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).

Front

What is a perfect square?

Back

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