Simplify 5/(a+3)+(-6a-3)/(a^2+3a)-(4-a)/a

Math
Simplify each term.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
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 .
Reorder the factors of .
Simplify terms.
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Combine the numerators over the common denominator.
Simplify each term.
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Simplify the numerator.
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Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Cancel the common factor of and .
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Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Combine the numerators over the common denominator.
Simplify the numerator.
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Factor out of .
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Reorder the expression.
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Reorder and .
Reorder and .
Rewrite as .
Factor out of .
Add and .
Simplify with factoring out.
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Move the negative in front of the fraction.
Factor out of .
Rewrite as .
Factor out of .
Simplify the expression.
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Rewrite as .
Move the negative in front of the fraction.
Multiply by .
Multiply by .
Simplify 5/(a+3)+(-6a-3)/(a^2+3a)-(4-a)/a

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