Evaluate
\frac{nv_{n}-12n+2v_{n}-8}{n+1}
Expand
\frac{nv_{n}-12n+2v_{n}-8}{n+1}
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\frac{nv_{n}+2v_{n}-12n-8}{4\left(n+1\right)}\times 4
Use the distributive property to multiply n+2 by v_{n}.
\frac{nv_{n}+2v_{n}-12n-8}{4n+4}\times 4
Use the distributive property to multiply 4 by n+1.
\frac{\left(nv_{n}+2v_{n}-12n-8\right)\times 4}{4n+4}
Express \frac{nv_{n}+2v_{n}-12n-8}{4n+4}\times 4 as a single fraction.
\frac{4\left(nv_{n}-12n+2v_{n}-8\right)}{4\left(n+1\right)}
Factor the expressions that are not already factored.
\frac{nv_{n}-12n+2v_{n}-8}{n+1}
Cancel out 4 in both numerator and denominator.
\frac{nv_{n}+2v_{n}-12n-8}{4\left(n+1\right)}\times 4
Use the distributive property to multiply n+2 by v_{n}.
\frac{nv_{n}+2v_{n}-12n-8}{4n+4}\times 4
Use the distributive property to multiply 4 by n+1.
\frac{\left(nv_{n}+2v_{n}-12n-8\right)\times 4}{4n+4}
Express \frac{nv_{n}+2v_{n}-12n-8}{4n+4}\times 4 as a single fraction.
\frac{4\left(nv_{n}-12n+2v_{n}-8\right)}{4\left(n+1\right)}
Factor the expressions that are not already factored.
\frac{nv_{n}-12n+2v_{n}-8}{n+1}
Cancel out 4 in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
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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
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Limits
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