Evaluate
x+6+\frac{8}{x}
Expand
x+6+\frac{8}{x}
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\frac{\left(x^{2}-4\right)\left(x+4\right)}{x\left(x-2\right)}
Divide \frac{x^{2}-4}{x} by \frac{x-2}{x+4} by multiplying \frac{x^{2}-4}{x} by the reciprocal of \frac{x-2}{x+4}.
\frac{\left(x-2\right)\left(x+2\right)\left(x+4\right)}{x\left(x-2\right)}
Factor the expressions that are not already factored.
\frac{\left(x+2\right)\left(x+4\right)}{x}
Cancel out x-2 in both numerator and denominator.
\frac{x^{2}+6x+8}{x}
Expand the expression.
\frac{\left(x^{2}-4\right)\left(x+4\right)}{x\left(x-2\right)}
Divide \frac{x^{2}-4}{x} by \frac{x-2}{x+4} by multiplying \frac{x^{2}-4}{x} by the reciprocal of \frac{x-2}{x+4}.
\frac{\left(x-2\right)\left(x+2\right)\left(x+4\right)}{x\left(x-2\right)}
Factor the expressions that are not already factored.
\frac{\left(x+2\right)\left(x+4\right)}{x}
Cancel out x-2 in both numerator and denominator.
\frac{x^{2}+6x+8}{x}
Expand the expression.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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