Sum and Difference of Cubes

Front

What is the formula for the sum of cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

What is the formula for the difference of cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

Factor the expression: 27x³ + 8

Back

(3x + 2)(9x² - 6x + 4)

Front

Solve the equation: 8x³ + 125 = 0

Back

x = -5/2, x = (-5 ± 5i√3)/4

Front

Fully factor the expression: 8x³ - 27

Back

(2x - 3)(4x² + 6x + 9)

Front

Factor the expression: 64 - 27a³

Back

(4 - 3a)(9a² + 12a + 16)

Front

Fully factor the expression: 216x³ + 125

Back

(6x + 5)(36x² - 30x + 25)

Front

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

Back

Identify a and b in the expression a³ + b³.

Front

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

Back

Identify a and b in the expression a³ - b³.

Front

What is the significance of the middle term in the sum of cubes formula?

Back

It represents the product of a and b, which is subtracted in the sum of cubes.