Sum/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 x³ + 1.

Back

(x + 1)(x² - x + 1)

Front

Factor the expression 27x³ - 64.

Back

(3x - 4)(9x² + 12x + 16)

Front

Factor the expression x³ - 1000.

Back

(x - 10)(x² + 10x + 100)

Front

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

Back

Identify the terms as a³ and b³.

Front

How do you recognize a sum of cubes?

Back

If the expression can be written in the form a³ + b³, where both a and b are perfect cubes.

Front

How do you recognize a difference of cubes?

Back

If the expression can be written in the form a³ - b³, where both a and b are perfect cubes.

Front

What are the roots of the equation x³ + 1 = 0?

Back

x = -1.

Front

What are the roots of the equation 27x³ - 64 = 0?

Back

x = 4/3.