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Home > A2C > Chapter 13 > Lesson 13.1.2 > Problem 13-36

13-36.
  1. Josephina thinks that she has discovered a new pattern, shown below. Homework Help ✎

    1. Check her equations by multiplying. Does her pattern work?

    2. Based on her pattern, what does equal? Is it true? Justify your answer.

    3. Make a conjecture about how to represent the result for . You will probably need “, …,” in the middle of your expression.

x − 1 = 1(x − 1)

x2 − 1 = (x + 1) (x − 1)

...

Check by multiplying, as in part (a).