Evaluate
5x^{2}+23+\frac{12}{x^{2}}
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5x^{2}+23+\frac{12}{x^{2}}
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-3\left(-x^{2}\right)x^{-2}-5\left(-x^{2}\right)+12x^{-2}+20
Use the distributive property to multiply -x^{2}-4 by -3x^{-2}-5.
3x^{2}x^{-2}-5\left(-x^{2}\right)+12x^{-2}+20
Multiply -3 and -1 to get 3.
3-5\left(-x^{2}\right)+12x^{-2}+20
Multiply x^{2} and x^{-2} to get 1.
3+5x^{2}+12x^{-2}+20
Multiply -5 and -1 to get 5.
23+5x^{2}+12x^{-2}
Add 3 and 20 to get 23.
-3\left(-x^{2}\right)x^{-2}-5\left(-x^{2}\right)+12x^{-2}+20
Use the distributive property to multiply -x^{2}-4 by -3x^{-2}-5.
3x^{2}x^{-2}-5\left(-x^{2}\right)+12x^{-2}+20
Multiply -3 and -1 to get 3.
3-5\left(-x^{2}\right)+12x^{-2}+20
Multiply x^{2} and x^{-2} to get 1.
3+5x^{2}+12x^{-2}+20
Multiply -5 and -1 to get 5.
23+5x^{2}+12x^{-2}
Add 3 and 20 to get 23.
Examples
Quadratic equation
{ 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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}