Difference of Squares

Front

What is the Difference of Squares?

Back

The Difference of Squares is a mathematical identity that states: a² - b² = (a + b)(a - b). It applies when you have a square term subtracted from another square term.

Front

Factor the expression: r² - 9t²

Back

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

Front

Factor the expression: x² - 9

Back

(x + 3)(x - 3)

Front

Factor the expression: w⁴ - 625

Back

(w² + 25)(w² - 25)

Front

Can the expression 9n² + 1 be factored using Difference of Squares?

Back

No, it cannot be factored using Difference of Squares.

Front

Factor the expression: r⁴ - q⁴

Back

(r² + q²)(r² - q²)

Front

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

Back

Identify two perfect squares in the expression.

Front

Give an example of a Difference of Squares expression.

Back

x² - 16, which factors to (x + 4)(x - 4).

Front

What is a perfect square?

Back

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

Front

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

Back

a² - b², which is the Difference of Squares.