Difference of Squares / Cubes

Front

What is the formula for the difference of squares?

Back

a² - b² = (a - b)(a + b)

Front

Factor the expression: x² - 16

Back

(x - 4)(x + 4)

Front

What is the formula for the sum of cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

Factor the expression: 64x³ + 1

Back

(4x + 1)(16x² - 4x + 1)

Front

What is the formula for the difference of cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

Factor the expression: 121x² - 49

Back

(11x + 7)(11x - 7)

Front

What is the result of factoring x² - 400?

Back

(x - 20)(x + 20)

Front

Factor the expression: 225x² - 169y²

Back

(15x + 13y)(15x - 13y)

Front

What is the difference of squares?

Back

A difference of squares is an expression of the form a² - b² that can be factored into (a - b)(a + b).

Front

What does it mean to factor an expression completely?

Back

Factoring completely means breaking down an expression into its simplest factors that cannot be factored further.