Basic Math Examples

Simplify u/(u-5)+(u^2-2)/(5-u)
Step 1
Simplify terms.
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Step 1.1
Rewrite as .
Step 1.2
Factor out of .
Step 1.3
Factor out of .
Step 1.4
Simplify the expression.
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Step 1.4.1
Move a negative from the denominator of to the numerator.
Step 1.4.2
Reorder terms.
Step 1.5
Combine the numerators over the common denominator.
Step 2
Simplify the numerator.
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Step 2.1
Apply the distributive property.
Step 2.2
Multiply by .
Step 2.3
Reorder terms.
Step 2.4
Factor by grouping.
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Step 2.4.1
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Step 2.4.1.1
Multiply by .
Step 2.4.1.2
Rewrite as plus
Step 2.4.1.3
Apply the distributive property.
Step 2.4.2
Factor out the greatest common factor from each group.
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Step 2.4.2.1
Group the first two terms and the last two terms.
Step 2.4.2.2
Factor out the greatest common factor (GCF) from each group.
Step 2.4.3
Factor the polynomial by factoring out the greatest common factor, .
Step 3
Simplify with factoring out.
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Step 3.1
Factor out of .
Step 3.2
Rewrite as .
Step 3.3
Factor out of .
Step 3.4
Simplify the expression.
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Step 3.4.1
Rewrite as .
Step 3.4.2
Move the negative in front of the fraction.