To divide by a fraction, multiply by its reciprocal.

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Cancel the common factor of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Simplify ((2a+1)/(10a-5))÷((10a)/(4a^2-1))