Basic Math Examples

Simplify ((u^2-v^2)/(u-v))÷(u/(u^2-vu))
Step 1
To divide by a fraction, multiply by its reciprocal.
Step 2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3
Simplify terms.
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Step 3.1
Cancel the common factor of .
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Step 3.1.1
Cancel the common factor.
Step 3.1.2
Divide by .
Step 3.2
Factor out of .
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Step 3.2.1
Factor out of .
Step 3.2.2
Factor out of .
Step 3.2.3
Factor out of .
Step 3.3
Cancel the common factor of .
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Step 3.3.1
Cancel the common factor.
Step 3.3.2
Divide by .
Step 4
Expand using the FOIL Method.
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Step 4.1
Apply the distributive property.
Step 4.2
Apply the distributive property.
Step 4.3
Apply the distributive property.
Step 5
Simplify terms.
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Step 5.1
Combine the opposite terms in .
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Step 5.1.1
Reorder the factors in the terms and .
Step 5.1.2
Add and .
Step 5.1.3
Add and .
Step 5.2
Simplify each term.
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Step 5.2.1
Multiply by .
Step 5.2.2
Rewrite using the commutative property of multiplication.
Step 5.2.3
Multiply by by adding the exponents.
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Step 5.2.3.1
Move .
Step 5.2.3.2
Multiply by .