Difference of Squares

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)

Front

Factor the expression: 81 - 25w².

Back

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

Front

Factor the expression: 81 - 400q².

Back

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

Front

Is the expression x² + 81 factorable?

Back

It's prime.

Front

Factor the expression: 4w² - 49.

Back

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

Front

What does it mean for an expression to be prime?

Back

An expression is prime if it cannot be factored into simpler expressions.

Front

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

Back

Identify the squares in the expression.

Front

Provide an example of a difference of squares.

Back

x² - 16 = (x - 4)(x + 4)

Front

What is the result of (a - b)(a + b)?

Back

a² - b²

Front

Can the expression 25 - x² be factored?

Back

Yes, it factors to (5 - x)(5 + x).