Difference of Two Squares

Front

What is the Difference of Two Squares?

Back

The Difference of Two 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: 25x² - 36y²

Back

(5x + 6y)(5x - 6y)

Front

Factor the expression: x² - 9

Back

(x + 3)(x - 3)

Front

Factor the expression: 49x² - 144y²

Back

(7x + 12y)(7x - 12y)

Front

Factor the expression: x² - 16

Back

(x + 4)(x - 4)

Front

Factor the expression: 64x² - 81y²

Back

(8x + 9y)(8x - 9y)

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 formula for factoring a² - b²?

Back

The formula is a² - b² = (a + b)(a - b).

Front

What are the steps to factor a difference of two squares?

Back

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

Front

Give an example of a difference of two squares.

Back

Example: 36 - x² can be factored as (6 + x)(6 - x).