Evaluate
12x+492+\frac{3456}{x}
Expand
12x+492+\frac{3456}{x}
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\left(x+9\right)\left(\frac{384}{x}+\frac{12x}{x}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 12 times \frac{x}{x}.
\left(x+9\right)\times \frac{384+12x}{x}
Since \frac{384}{x} and \frac{12x}{x} have the same denominator, add them by adding their numerators.
\frac{\left(x+9\right)\left(384+12x\right)}{x}
Express \left(x+9\right)\times \frac{384+12x}{x} as a single fraction.
\frac{384x+12x^{2}+3456+108x}{x}
Apply the distributive property by multiplying each term of x+9 by each term of 384+12x.
\frac{492x+12x^{2}+3456}{x}
Combine 384x and 108x to get 492x.
\left(x+9\right)\left(\frac{384}{x}+\frac{12x}{x}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 12 times \frac{x}{x}.
\left(x+9\right)\times \frac{384+12x}{x}
Since \frac{384}{x} and \frac{12x}{x} have the same denominator, add them by adding their numerators.
\frac{\left(x+9\right)\left(384+12x\right)}{x}
Express \left(x+9\right)\times \frac{384+12x}{x} as a single fraction.
\frac{384x+12x^{2}+3456+108x}{x}
Apply the distributive property by multiplying each term of x+9 by each term of 384+12x.
\frac{492x+12x^{2}+3456}{x}
Combine 384x and 108x to get 492x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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