Dividing two rational expression with a lot of factoring by multiplying

The video tutorial covers the process of rewriting a thesis, factoring trinomials, and using the difference of two squares technique. It emphasizes the importance of simplifying expressions by canceling terms that are the same in the numerator and denominator. The tutorial provides step-by-step guidance on factoring and simplifying algebraic expressions, ensuring students understand the concepts and techniques involved.

What is the first step in factoring a trinomial like X^2 + 10X + 16?

• Find two numbers that multiply to 16 and add to 10.

• Divide the trinomial by its greatest common factor.

• Rewrite the trinomial as a product of binomials.

• Use the quadratic formula to solve for X.

Which of the following is a correct factorization of X^2 - 64?

• (X - 64)(X + 1)

• (X - 4)(X + 16)

• (X - 8)(X + 8)

• (X - 32)(X + 2)

Which technique is used to factor expressions like X^2 - 64?

• Completing the Square

• Greatest Common Factor

• Difference of Two Squares

• Quadratic Formula

What is the result of dividing an expression by itself?

• One

• Zero

• The original expression

• Undefined

When simplifying the expression (X + 8)(X - 8)/(X + 8), what is the simplified form?

• X^2 - 64

• X - 8

• X + 8

• 1