Factoring a binomial using the difference of two cubes

The video tutorial covers the process of factoring expressions, focusing on the difference of cubes and squares. It begins with an introduction to factoring, followed by a discussion on square terms and their limitations. The tutorial then explores the difference of two cubes, explaining how to find cube roots and apply the factoring formula. The lesson concludes with simplifying expressions and emphasizing the importance of identifying whether an expression is a difference of squares or cubes.

What are the two main forms discussed for factoring expressions with two terms?

• Sum and product of cubes

• Difference and product of squares

• Sum and difference of cubes

• Sum and difference of squares

How do you determine if an expression can be written as a difference of two cubes?

• By checking if the terms are square numbers

• By taking the cube root of the terms

• By multiplying the terms by 3

• By adding the terms together

What is the cube root of 64 D to the 6th?

• 16 D

• 2 D cubed

• 4 D squared

• 8 D cubed

What is the formula used for the difference of two 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)

What is the simplified form of 4D squared minus 7E?

• 16 D to the 4th + 28 D squared E + 49 E squared

• 8 D to the 4th + 14 D squared E + 24 E squared

• 12 D to the 4th + 21 D squared E + 36 E squared

• 20 D to the 4th + 35 D squared E + 42 E squared