Evaluate
12x+480+\frac{3072}{x}
Expand
12x+480+\frac{3072}{x}
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\left(x+8\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+8\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+8\right)\left(384+12x\right)}{x}
Express \left(x+8\right)\times \frac{384+12x}{x} as a single fraction.
\frac{384x+12x^{2}+3072+96x}{x}
Apply the distributive property by multiplying each term of x+8 by each term of 384+12x.
\frac{480x+12x^{2}+3072}{x}
Combine 384x and 96x to get 480x.
\left(x+8\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+8\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+8\right)\left(384+12x\right)}{x}
Express \left(x+8\right)\times \frac{384+12x}{x} as a single fraction.
\frac{384x+12x^{2}+3072+96x}{x}
Apply the distributive property by multiplying each term of x+8 by each term of 384+12x.
\frac{480x+12x^{2}+3072}{x}
Combine 384x and 96x to get 480x.
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Limits
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