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.

Multiply by by adding the exponents.

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 and .

Multiply by by adding the exponents.

Multiply by .

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)