Simplify ((r^2-s^2)/(r+s))÷(r/(r^2+sr))

Math
To divide by a fraction, multiply by its reciprocal.
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify terms.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify terms.
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Combine the opposite terms in .
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Reorder the factors in the terms and .
Subtract from .
Add and .
Simplify each term.
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Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
Simplify ((r^2-s^2)/(r+s))÷(r/(r^2+sr))
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