Solve x^2/x+ln(x)*2x

$$\frac{ { x }^{ 2 } }{ x } + \ln ( x ) \times 2x$$

Factor

$$x\left(2\ln(x)+1\right)$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

$$factor(x^{1}+\log_{e}\left(x\right)\times 2x)$$

Calculate x to the power of 1 and get x.

$$factor(x+\log_{e}\left(x\right)\times 2x)$$

Factor out x.

$$x\left(1+2\log_{e}\left(x\right)\right)$$

Evaluate

$$2x\ln(x)+x$$