Evaluate
\left(-a-1\right)^{3}
Expand
-a^{3}-3a^{2}-3a-1
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\left(-a\right)^{3}-3\left(-a\right)^{2}+3\left(-a\right)-1
Use binomial theorem \left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} to expand \left(-a-1\right)^{3}.
\left(-a\right)^{3}-3a^{2}+3\left(-a\right)-1
Calculate -a to the power of 2 and get a^{2}.
\left(-1\right)^{3}a^{3}-3a^{2}+3\left(-1\right)a-1
Expand \left(-a\right)^{3}.
-a^{3}-3a^{2}+3\left(-1\right)a-1
Calculate -1 to the power of 3 and get -1.
-a^{3}-3a^{2}-3a-1
Multiply 3 and -1 to get -3.
\left(-a\right)^{3}-3\left(-a\right)^{2}+3\left(-a\right)-1
Use binomial theorem \left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} to expand \left(-a-1\right)^{3}.
\left(-a\right)^{3}-3a^{2}+3\left(-a\right)-1
Calculate -a to the power of 2 and get a^{2}.
\left(-1\right)^{3}a^{3}-3a^{2}+3\left(-1\right)a-1
Expand \left(-a\right)^{3}.
-a^{3}-3a^{2}+3\left(-1\right)a-1
Calculate -1 to the power of 3 and get -1.
-a^{3}-3a^{2}-3a-1
Multiply 3 and -1 to get -3.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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