Sum and Difference of Cubes

Front

What is the formula for the difference of cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

What is the formula for the sum of cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

Factor: 8x³ - 1

Back

(2x - 1)(4x² + 2x + 1)

Front

Factor: 2x³ + 128

Back

2(x + 4)(x² - 4x + 16)

Front

Factor: 27x³ + 8

Back

(3x + 2)(9x² - 6x + 4)

Front

Factor: 8x³ - 27

Back

(2x - 3)(4x² + 6x + 9)

Front

Factor: 27x³ - 64

Back

(3x - 4)(9x² + 12x + 16)

Front

What is the first step in factoring a sum or difference of cubes?

Back

Identify a and b such that the expression can be written as a³ ± b³.

Front

How do you determine if an expression is a sum or difference of cubes?

Back

Check if it can be expressed in the form a³ ± b³, where a and b are real numbers.

Front

What is the significance of the coefficients in the sum and difference of cubes?

Back

They affect the values of a and b in the formulas for factoring.