Simplify (4xy)/(x^2-y^2)+(x-y)/(x+y)

Math
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 .
Simplify terms.
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Multiply and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by .
Multiply by .
Multiply by .
Subtract from .
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Move .
Subtract from .
Subtract from .
Factor using the perfect square rule.
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Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Cancel the common factor.
Rewrite the expression.
Simplify (4xy)/(x^2-y^2)+(x-y)/(x+y)

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