### Home > CCA2 > Chapter 12 > Lesson 12.1.2 > Problem 12-33

12-33.

Simplify, then add

. Justify each step. Homework Help ✎ Josephina thinks that she has discovered a new pattern, shown at right. Homework Help ✎

Check her equations by multiplying. Does her pattern work?

Based on her pattern, what does

equal? Is it true? Justify your answer. Make a conjecture about how to represent the result for

. You will need “…” in the middle of your expression.

Factor the numerator and the denominator of the second term. Remove Giant Ones.

What do you need to do to create a common denominator?