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

Factor the expression: 4a² - 25

Back

(2a + 5)(2a - 5)

Front

Can the expression 4m² + 49 be factored using Difference of Squares?

Back

No, it cannot be factored using Difference of Squares.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

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

Back

Identify the two square terms in the expression.

Front

Provide an example of a Difference of Squares expression.

Back

Example: 16x² - 25y² can be factored as (4x + 5y)(4x - 5y).

Front

What is the result of factoring a Difference of Squares?

Back

The result is always two binomials.