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Evaluate
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Differentiate w.r.t. a
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\frac{a}{\left(a+1\right)\left(a^{2}+2a+1\right)}
Multiply \frac{1}{a+1} times \frac{a}{a^{2}+2a+1} by multiplying numerator times numerator and denominator times denominator.
\frac{a}{a^{3}+3a^{2}+3a+1}
Use the distributive property to multiply a+1 by a^{2}+2a+1 and combine like terms.