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: q² - 121

Back

(q + 11)(q - 11)

Front

Factor the expression: r² - 9t²

Back

(r + 3t)(r - 3t)

Front

Fully factor the expression: 25x² - 81

Back

(5x + 9)(5x - 9)

Front

Factor the expression: x² - 9

Back

(x + 3)(x - 3)

Front

Factor the expression: r⁴ - q⁴

Back

(r² + q²)(r² - q²)

Front

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

Back

Expressions of the form a² - b², where both a and b are perfect squares.

Front

Provide an example of a Difference of Squares expression.

Back

Example: 16 - x² can be factored as (4 + x)(4 - x).

Front

What is a perfect square?

Back

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

Front

How do you identify a Difference of Squares expression?

Back

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