Basic Math Examples

Simplify (1/(a^2+5))-((a^2-5)/((a^2+5)^2))+1/(a^2-5)
Step 1
To write as a fraction with a common denominator, multiply by .
Step 2
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.1
Multiply by .
Step 2.2
Raise to the power of .
Step 2.3
Raise to the power of .
Step 2.4
Use the power rule to combine exponents.
Step 2.5
Add and .
Step 3
Combine the numerators over the common denominator.
Step 4
Simplify the numerator.
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Step 4.1
Apply the distributive property.
Step 4.2
Multiply by .
Step 4.3
Subtract from .
Step 4.4
Add and .
Step 4.5
Add and .
Step 5
To write as a fraction with a common denominator, multiply by .
Step 6
To write as a fraction with a common denominator, multiply by .
Step 7
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 7.1
Multiply by .
Step 7.2
Multiply by .
Step 7.3
Reorder the factors of .
Step 8
Combine the numerators over the common denominator.
Step 9
Simplify the numerator.
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Step 9.1
Apply the distributive property.
Step 9.2
Multiply by .
Step 9.3
Rewrite as .
Step 9.4
Expand using the FOIL Method.
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Step 9.4.1
Apply the distributive property.
Step 9.4.2
Apply the distributive property.
Step 9.4.3
Apply the distributive property.
Step 9.5
Simplify and combine like terms.
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Step 9.5.1
Simplify each term.
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Step 9.5.1.1
Multiply by by adding the exponents.
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Step 9.5.1.1.1
Use the power rule to combine exponents.
Step 9.5.1.1.2
Add and .
Step 9.5.1.2
Move to the left of .
Step 9.5.1.3
Multiply by .
Step 9.5.2
Add and .
Step 9.6
Add and .
Step 9.7
Add and .
Step 9.8
Reorder terms.