Solve x+(x/100)x

$$x + ( \frac { x } { 100 } ) x$$

Evaluate

$$\frac{x^{2}}{100}+x$$

Short Solution Steps

Express \frac{x}{100}x as a single fraction.

$$x+\frac{xx}{100}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{100}{100}.

$$\frac{100x}{100}+\frac{xx}{100}$$

Since \frac{100x}{100} and \frac{xx}{100} have the same denominator, add them by adding their numerators.

$$\frac{100x+xx}{100}$$

Do the multiplications in 100x+xx.

$$\frac{100x+x^{2}}{100}$$

Factor

$$\frac{x\left(x+100\right)}{100}$$

Solution Steps

Factor out \frac{1}{100}.

$$\frac{100x+xx}{100}$$

Consider 100x+x^{2}. Factor out x.

$$x\left(100+x\right)$$

Rewrite the complete factored expression.

$$\frac{x\left(x+100\right)}{100}$$