Basic Math Examples

Simplify (64c^3)/(16c^2+4cn+n^2)-(n^3)/(16c^2+4cn+n^2)
Step 1
Combine the numerators over the common denominator.
Step 2
Simplify the numerator.
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Step 2.1
Rewrite as .
Step 2.2
Since both terms are perfect cubes, factor using the difference of cubes formula, where and .
Step 2.3
Simplify.
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Step 2.3.1
Apply the product rule to .
Step 2.3.2
Raise to the power of .
Step 3
Cancel the common factor of .
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Step 3.1
Cancel the common factor.
Step 3.2
Divide by .