Factoring Sums and Differences of Cubes

This video tutorial focuses on factoring sums and differences of cubes. It begins with an introduction to the concept and provides a formula for factoring. The video includes several examples, such as factoring expressions like X^3 + 8, X^3 + 125, and 8X^3 + 27. It also covers the difference of cubes with examples like X^3 - 216 and 64Y^3 - 125. The tutorial explains each step in detail, helping viewers understand how to apply the formulas to different expressions.

What is the formula for factoring the sum of cubes?

• a^3 + b^3 = (a + b)(a^2 - ab + b^2)

• a^3 + b^3 = (a + b)(a^2 + ab + b^2)

• a^3 + b^3 = (a - b)(a^2 - ab + b^2)

• a^3 + b^3 = (a - b)(a^2 + ab + b^2)

If you have the expression x^3 + 8, what are the values of a and b?

• a = x, b = 4

• a = x, b = 2

• a = x, b = 3

• a = x, b = 1

What is the cube root of 125?

• 4

• 6

• 3

• 5

How do you factor the expression 8x^3 + 27?

• (2x + 3)(4x^2 - 6x + 9)

• (2x + 3)(4x^2 + 6x + 9)

• (2x - 3)(4x^2 - 6x + 9)

• (2x - 3)(4x^2 + 6x + 9)

What is the formula for factoring the difference of cubes?

• a^3 - b^3 = (a + b)(a^2 - ab + b^2)

• a^3 - b^3 = (a - b)(a^2 + ab + b^2)

• a^3 - b^3 = (a + b)(a^2 + ab + b^2)

• a^3 - b^3 = (a - b)(a^2 - ab + b^2)

If you have the expression x^3 - 216, what are the values of a and b?

• a = x, b = 6

• a = x, b = 2

• a = x, b = 4

• a = x, b = 3

How do you factor the expression 64y^3 - 125?

• (4y + 5)(16y^2 + 20y + 25)

• (4y - 5)(16y^2 - 20y + 25)

• (4y + 5)(16y^2 - 20y + 25)

• (4y - 5)(16y^2 + 20y + 25)

What is the cube root of 64?

• 5

• 4

• 3

• 2

How do you factor the expression 8y^3 - 27?

• (2y - 3)(4y^2 + 6y + 9)

• (2y + 3)(4y^2 - 6y + 9)

• (2y + 3)(4y^2 + 6y + 9)

• (2y - 3)(4y^2 - 6y + 9)

What is the cube root of x^6?

• x^5

• x^3

• x^2

• x^4