Simplify 1/(x+2)+1/(x+3)+1/(x^2+5x+6)

Math
Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply and .
Multiply and .
Reorder the factors of .
Combine into one fraction.
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Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Simplify the numerator.
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Add and .
Add and .
Add and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify 1/(x+2)+1/(x+3)+1/(x^2+5x+6)

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