Sum/Difference of Cubes

Front

What is the formula for the Sum of Cubes?

Back

The formula for the Sum of Cubes is: a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Front

What is the formula for the Difference of Cubes?

Back

The formula for the Difference of Cubes is: a^3 - b^3 = (a - b)(a^2 + ab + b^2)

Front

Factor the expression: 64x^3 + 125

Back

(4x + 5)(16x^2 - 20x + 25)

Front

Factor the expression: 8x^3 - 1

Back

(2x - 1)(4x^2 + 2x + 1)

Front

Identify an example of a Difference of Cubes.

Back

8x^3 - 27 is an example of a Difference of Cubes.

Front

Factor the expression: 125x^3 - 64

Back

(5x - 4)(25x^2 + 20x + 16)

Front

Factor the expression: x^3 + 1

Back

(x + 1)(x^2 - x + 1)

Front

What is the value of a in the expression a^3 + b^3 when b = 2 and the expression equals 27?

Back

a = 3, since 3^3 + 2^3 = 27.

Front

What is the value of b in the expression a^3 - b^3 when a = 4 and the expression equals 64?

Back

b = 2, since 4^3 - 2^3 = 64.

Front

What is the first step in factoring a Sum of Cubes?

Back

Identify a and b such that the expression can be written as a^3 + b^3.