Basic Math Examples

Simplify ((3m-6n)/(5n))/((m^2-4n^2)/(10mn))
Step 1
Multiply the numerator by the reciprocal of the denominator.
Step 2
Cancel the common factor of .
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Step 2.1
Factor out of .
Step 2.2
Cancel the common factor.
Step 2.3
Rewrite the expression.
Step 3
Simplify the denominator.
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Step 3.1
Rewrite as .
Step 3.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3.3
Multiply by .
Step 4
Multiply by .
Step 5
Simplify the numerator.
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Step 5.1
Factor out of .
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Step 5.1.1
Factor out of .
Step 5.1.2
Factor out of .
Step 5.1.3
Factor out of .
Step 5.2
Multiply by .
Step 6
Cancel the common factor of .
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Step 6.1
Cancel the common factor.
Step 6.2
Rewrite the expression.