Simplify a rational expression

The video tutorial covers the importance of remembering factoring rules, focusing on binomials and trinomials. It introduces the difference of two cubes as a less common but useful factoring technique. The process of factoring expressions using this method is explained, including identifying cube numbers and rewriting expressions. Finally, the tutorial demonstrates simplifying rational expressions to reach a final solution.

Why is it important to remember all factoring rules?

• They are only used in advanced mathematics.

• They help in simplifying expressions.

• They are not applicable to trinomials.

• They are only useful for binomials.

Which of the following is NOT a technique mentioned for factoring binomials?

• Difference of Squares

• Difference of Two Cubes

• Greatest Common Factor (GCF)

• Sum of Cubes

What is the formula for factoring the difference of two cubes?

• (a - b)(a^2 + ab + b^2)

• (a + b)(a^2 + ab + b^2)

• (a - b)(a^2 - ab + b^2)

• (a + b)(a^2 - ab + b^2)

How can the expression X^3 - 64 be rewritten using the difference of cubes?

• (X + 4)(X^2 + 4X + 16)

• (X - 4)(X^2 - 4X + 16)

• (X + 4)(X^2 - 4X + 16)

• (X - 4)(X^2 + 4X + 16)

What is the final simplified form of the expression X - 4 / X^2 + 4X + 16?

• X - 4

• 1

• X + 4

• X^2 + 4X + 16