Basic Math Examples

Simplify (1/(u^2)-1/(v^2))/(7/u+7/v)
Step 1
Multiply the numerator and denominator of the fraction by .
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Step 1.1
Multiply by .
Step 1.2
Combine.
Step 2
Apply the distributive property.
Step 3
Simplify by cancelling.
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Step 3.1
Cancel the common factor of .
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Step 3.1.1
Factor out of .
Step 3.1.2
Cancel the common factor.
Step 3.1.3
Rewrite the expression.
Step 3.2
Cancel the common factor of .
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Step 3.2.1
Move the leading negative in into the numerator.
Step 3.2.2
Factor out of .
Step 3.2.3
Cancel the common factor.
Step 3.2.4
Rewrite the expression.
Step 3.3
Cancel the common factor of .
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Step 3.3.1
Factor out of .
Step 3.3.2
Cancel the common factor.
Step 3.3.3
Rewrite the expression.
Step 3.4
Cancel the common factor of .
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Step 3.4.1
Factor out of .
Step 3.4.2
Cancel the common factor.
Step 3.4.3
Rewrite the expression.
Step 4
Simplify the numerator.
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Step 4.1
Move to the left of .
Step 4.2
Rewrite as .
Step 4.3
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 5
Simplify terms.
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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
Cancel the common factor of .
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Step 5.2.1
Cancel the common factor.
Step 5.2.2
Rewrite the expression.
Step 5.3
Move to the left of .