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

Can x² + 81 be factored using the Difference of Squares?

Back

No, x² + 81 cannot be factored using the Difference of Squares.

Front

Factor w⁴ - 625 using the Difference of Squares.

Back

w⁴ - 625 = (w² + 25)(w² - 25).

Front

What is the result of factoring r⁴ - q⁴?

Back

r⁴ - q⁴ = (r² + q²)(r² - q²).

Front

Factor q² - 121 using the Difference of Squares.

Back

q² - 121 = (q + 11)(q - 11).

Front

Fully factor 25x² - 81.

Back

25x² - 81 = (5x + 9)(5x - 9).

Front

What is a key characteristic of a Difference of Squares expression?

Back

A Difference of Squares expression is characterized by having the form a² - b², where both a and b are perfect squares.

Front

Is 49 - x² a Difference of Squares?

Back

Yes, 49 - x² can be factored as (7 + x)(7 - x).

Front

What are the steps to factor a Difference of Squares?

Back

1. Identify a² and b². 2. Apply the formula a² - b² = (a + b)(a - b).

Front

Can the expression 4x² + 9 be factored using the Difference of Squares?

Back

No, 4x² + 9 cannot be factored using the Difference of Squares.