Question:

Simplify by removing factors of 1.?

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A.

r^2-49

-----------------

r^2-14r+49

B.

21z^2-1029

------------------------

9z^2-441

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  1. A)

    (r^2 - 49)/(r^2 - 14r + 49)

    = (r^2 + 7r - 7r - 49)/(r^2 - 7r - 7r + 49)

    = (r + 7)(r - 7)/(r - 7)(r - 7) (cancel out r - 7)

    = (r + 7)/(r - 7)

    B)

    (21z^2 - 1029)/(9z^2 - 441)

    = 21(z^2 - 49)/9(z^2 - 49) (cancel out z^2 - 49)

    = 21/9

    = 7/3

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