2A.2.1 Difference of Squares, Sum/Difference of Cubes

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)

Front

What is the sum of cubes formula?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

What is the difference of cubes formula?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

Factor the expression: a³ + b³

Back

(a + b)(a² - ab + b²)

Front

Factor the expression: x³ + 1

Back

(x + 1)(x² - x + 1)

Front

Factor the expression: 64x³ + 1

Back

(4x + 1)(16x² - 4x + 1)

Front

Factor the expression: x³ - 64

Back

(x - 4)(x² + 4x + 16)

Front

Factor the expression: 9n² - 1

Back

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

Front

What is the first step in factoring a difference of squares?

Back

Identify the two squares and apply the formula a² - b² = (a - b)(a + b).

Front

How do you recognize a sum of cubes?

Back

Look for a binomial in the form a³ + b³.