Learn how to solve completely using the difference of two cubes

The video tutorial explains the concept of cubes, focusing on the difference and sum of cubes. It provides formulas for factoring these expressions and demonstrates an example of factoring a difference of cubes. The quadratic formula is applied to solve non-factorable expressions, and the solutions are converted into linear factorization form.

What is the cube of 2?

• 10

• 8

• 6

• 4

Which formula represents the factored form of a difference of cubes?

• a^2 + b^2

• a + b times a^2 - ab + b^2

• a - b times a^2 + ab + b^2

• a^2 - b^2

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

• Multiply the terms

• Find the cube root of each term

• Add the terms

• Find the square root of each term

What is the result of simplifying the expression x^2 + 2x + 4?

• It equals zero

• It is not factorable

• It equals one

• It is factorable

Which formula is used to solve a non-factorable quadratic equation?

• Cubic formula

• Exponential formula

• Quadratic formula

• Linear formula

What type of numbers are involved when the square root of a negative number is present?

• Irrational numbers

• Whole numbers

• Rational numbers

• Complex numbers

What are the zeros of the equation after applying linear factorization?

• 2 and -2 ± i√12/2

• 1 and -1

• 2 and -2

• 0 and 2