Evaluate
\frac{2\left(3x-1\right)\left(9+2x-3x^{2}\right)}{\left(x^{2}+3\right)^{3}}
Expand
-\frac{2\left(9x^{3}-9x^{2}-25x+9\right)}{\left(x^{2}+3\right)\left(x^{4}+6x^{2}+9\right)}
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\frac{-18x^{3}+18x^{2}+50x-18}{x^{6}+9x^{4}+27x^{2}+27}
Use the distributive property to multiply x^{2}+3 by x^{4}+6x^{2}+9 and combine like terms.
\frac{-18x^{3}+18x^{2}+50x-18}{x^{6}+9x^{4}+27x^{2}+27}
Use the distributive property to multiply x^{2}+3 by x^{4}+6x^{2}+9 and combine like terms.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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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