Simplify ((1+y^2)^(1/2)-y^2(1+y^2)^(-1/2))/(1+y^2)

Math
Simplify the numerator.
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Rewrite the expression using the negative exponent rule .
Combine and .
To write as a fraction with a common denominator, multiply by .
Combine the numerators over the common denominator.
Rewrite in a factored form.
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Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Combine the numerators over the common denominator.
Add and .
Divide by .
Simplify .
Subtract from .
Add and .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Multiply and .
Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Add and .
Simplify ((1+y^2)^(1/2)-y^2(1+y^2)^(-1/2))/(1+y^2)

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