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

Math
To divide by a fraction, multiply by its reciprocal.
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Simplify the numerator.
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Rewrite as .
Rewrite as .
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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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))

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