Evaluate
-\frac{1}{9n^{2}-81n-1}
Expand
-\frac{1}{9n^{2}-81n-1}
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\frac{3n-3n-1}{3n^{2}\times 3-27\times 3n-1}
Multiply n and n to get n^{2}.
\frac{-1}{3n^{2}\times 3-27\times 3n-1}
Combine 3n and -3n to get 0.
\frac{-1}{9n^{2}-27\times 3n-1}
Multiply 3 and 3 to get 9.
\frac{-1}{9n^{2}-81n-1}
Multiply 27 and 3 to get 81.
\frac{3n-3n-1}{3n^{2}\times 3-27\times 3n-1}
Multiply n and n to get n^{2}.
\frac{-1}{3n^{2}\times 3-27\times 3n-1}
Combine 3n and -3n to get 0.
\frac{-1}{9n^{2}-27\times 3n-1}
Multiply 3 and 3 to get 9.
\frac{-1}{9n^{2}-81n-1}
Multiply 27 and 3 to get 81.
Examples
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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