Simplify (z^2)/(z^2-1)-(3z+2)/(z^2-1)

Math
Simplify terms.
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Simplify each term.
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Simplify the denominator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify the denominator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Apply the distributive property.
Multiply by .
Multiply by .
Simplify (z^2)/(z^2-1)-(3z+2)/(z^2-1)

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