Factoring and Simplifying Expressions

The video tutorial covers simplifying algebraic expressions by factoring. It begins with an introduction to simplifying problems, followed by a detailed explanation of factoring trinomials. The concept of the difference of squares is then discussed, and the division property is applied to simplify expressions. The lesson concludes with a recap of the key points covered.

What is the first step in simplifying algebraic expressions?

• Solving for x

• Expanding the expression

• Combining like terms

• Factoring the numerator and the denominator

When factoring the trinomial x^2 + 3x - 18, what two numbers multiply to -18 and add to 3?

• 6 and -3

• 9 and -2

• 2 and -9

• 3 and -6

What is the factored form of x^2 + 3x - 18?

• (x + 9)(x - 2)

• (x + 6)(x - 3)

• (x + 3)(x - 6)

• (x + 2)(x - 9)

What type of expression is x^2 - 36?

• A linear expression

• A sum of squares

• A difference of squares

• A perfect square trinomial

What is the factored form of x^2 - 36?

• (x - 6)(x + 6)

• (x - 3)(x + 3)

• (x - 9)(x + 4)

• (x - 2)(x + 18)

What happens when a term in the numerator is exactly the same as a term in the denominator?

• It remains unchanged

• It divides to 1

• It doubles

• It cancels out to 0

Which of the following pairs of terms can be divided to 1?

• x - 6 and x + 6

• x + 6 and x - 6

• x - 3 and x - 3

• x + 3 and x - 3

What is the final simplified form of the expression (x^2 + 3x - 18) / (x^2 - 36)?

• (x + 6) / (x + 6)

• (x - 3) / (x + 6)

• (x - 3) / (x - 6)

• (x + 3) / (x - 6)