Basic Math Examples

Simplify ( square root of u-5)/(5+ square root of u)
Step 1
Multiply by .
Step 2
Combine fractions.
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Step 2.1
Multiply by .
Step 2.2
Expand the denominator using the FOIL method.
Step 2.3
Simplify.
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Step 2.3.1
Use to rewrite as .
Step 2.3.2
Apply the power rule and multiply exponents, .
Step 2.3.3
Combine and .
Step 2.3.4
Cancel the common factor of .
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Step 2.3.4.1
Cancel the common factor.
Step 2.3.4.2
Rewrite the expression.
Step 2.3.5
Simplify.
Step 3
Simplify the numerator.
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Step 3.1
Factor out of .
Step 3.2
Rewrite as .
Step 3.3
Factor out of .
Step 3.4
Reorder terms.
Step 3.5
Raise to the power of .
Step 3.6
Raise to the power of .
Step 3.7
Use the power rule to combine exponents.
Step 3.8
Add and .
Step 4
Rewrite as .
Step 5
Expand using the FOIL Method.
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Step 5.1
Apply the distributive property.
Step 5.2
Apply the distributive property.
Step 5.3
Apply the distributive property.
Step 6
Simplify and combine like terms.
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Step 6.1
Simplify each term.
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Step 6.1.1
Multiply by .
Step 6.1.2
Multiply by .
Step 6.1.3
Multiply by .
Step 6.1.4
Multiply .
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Step 6.1.4.1
Multiply by .
Step 6.1.4.2
Multiply by .
Step 6.1.4.3
Raise to the power of .
Step 6.1.4.4
Raise to the power of .
Step 6.1.4.5
Use the power rule to combine exponents.
Step 6.1.4.6
Add and .
Step 6.1.5
Rewrite as .
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Step 6.1.5.1
Use to rewrite as .
Step 6.1.5.2
Apply the power rule and multiply exponents, .
Step 6.1.5.3
Combine and .
Step 6.1.5.4
Cancel the common factor of .
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Step 6.1.5.4.1
Cancel the common factor.
Step 6.1.5.4.2
Rewrite the expression.
Step 6.1.5.5
Simplify.
Step 6.2
Subtract from .
Step 7
Move the negative in front of the fraction.