Factoring the Difference of Squares

Front

What is the difference of squares?

Back

The difference of squares is a mathematical expression of the form a² - b², which can be factored into (a + b)(a - b).

Front

Factor the expression: 64x² - 49y²

Back

(8x + 7y)(8x - 7y)

Front

Factor the expression: 9x² - 49y²

Back

(3x + 7y)(3x - 7y)

Front

Factor the expression: 4a² - 36

Back

(2a + 6)(2a - 6)

Front

Factor the expression: 25x² - 81

Back

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

Front

Factor the expression: 9n² - 1

Back

(3n + 1)(3n - 1)

Front

What is the formula for factoring the difference of squares?

Back

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

Front

Provide an example of a difference of squares: 16 - 9

Back

16 - 9 = (4 + 3)(4 - 3) = 7 * 1.

Front

What are the steps to factor a difference of squares?

Back

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

Front

What is the result of factoring 36x² - 64?

Back

(6x + 8)(6x - 8) or (3x + 4)(3x - 4) after simplifying.