Simplify rational expressions by using special factoring techniques

The video tutorial explains how to simplify rational expressions by factoring. It covers special factoring techniques such as the difference of two squares and perfect square trinomials. The tutorial emphasizes the importance of understanding the division property and applying constraints to the denominator. Through examples, it demonstrates how to factor expressions in both the numerator and denominator, apply the division property, and identify constraints to avoid zero denominators.

What is the first step in simplifying a rational expression by factoring?

• Check for constraints

• Factor out a GCF if possible

• Factor the numerator completely

• Apply the division property

In the first example, what technique is used to factor the denominator?

• Perfect square trinomial

• Quadratic formula

• Difference of two squares

• Greatest common factor

When simplifying a rational expression, why is it important to check for constraints?

• To simplify the expression further

• To avoid division by zero in the denominator

• To ensure the numerator is not zero

• To apply the division property correctly

In the second example, what common factor is factored out from the denominator?

• X - 4

• X

• 4

• 2

What is the result of simplifying the expression in the second example?

• X + 4 / 2

• X - 4 / 2

• X - 2 / X + 2

• X + 2 / X - 2

In the final example, what is the constraint for the expression X * X - 2 all over X + 2?

• X cannot equal 5

• X cannot equal -2

• X cannot equal 2

• X cannot equal 0

What is a perfect square trinomial?

• A trinomial that cannot be factored

• A trinomial with no middle term

• A trinomial with a middle term of zero

• A trinomial that can be factored into two identical binomials