Combine (4x)/(x+1)+5/(x-1)-8/(x^2-1)

Math
Simplify the denominator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply and .
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify the numerator.
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Apply the distributive property.
Multiply by by adding the exponents.
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Move .
Multiply by .
Multiply by .
Apply the distributive property.
Multiply by .
Add and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Subtract from .
Factor by grouping.
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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Multiply by .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Combine (4x)/(x+1)+5/(x-1)-8/(x^2-1)


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