Evaluate
12+\frac{12}{x}
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12+\frac{12}{x}
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\left(6x^{2}+6x\right)\times 2x^{-2}
Combine 4x^{2} and 2x^{2} to get 6x^{2}.
\left(12x^{2}+12x\right)x^{-2}
Use the distributive property to multiply 6x^{2}+6x by 2.
12x^{2}x^{-2}+12xx^{-2}
Use the distributive property to multiply 12x^{2}+12x by x^{-2}.
12+12xx^{-2}
Multiply x^{2} and x^{-2} to get 1.
12+12x^{-1}
To multiply powers of the same base, add their exponents. Add 1 and -2 to get -1.
\left(6x^{2}+6x\right)\times 2x^{-2}
Combine 4x^{2} and 2x^{2} to get 6x^{2}.
\left(12x^{2}+12x\right)x^{-2}
Use the distributive property to multiply 6x^{2}+6x by 2.
12x^{2}x^{-2}+12xx^{-2}
Use the distributive property to multiply 12x^{2}+12x by x^{-2}.
12+12xx^{-2}
Multiply x^{2} and x^{-2} to get 1.
12+12x^{-1}
To multiply powers of the same base, add their exponents. Add 1 and -2 to get -1.
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
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}