Solve 123/frac{4{x}}+x^2

$$\frac { 123 } { \frac { 4 } { x } } + x ^ { 2 }$$

Evaluate

$$x^{2}+\frac{123x}{4}$$

Solution Steps

Divide 123 by \frac{4}{x} by multiplying 123 by the reciprocal of \frac{4}{x}.

$$\frac{123x}{4}+x^{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2} times \frac{4}{4}.

$$\frac{123x}{4}+\frac{4x^{2}}{4}$$

Since \frac{123x}{4} and \frac{4x^{2}}{4} have the same denominator, add them by adding their numerators.

$$\frac{123x+4x^{2}}{4}$$

Factor

$$\frac{x\left(4x+123\right)}{4}$$

Solution Steps

Divide 123 by \frac{4}{x} by multiplying 123 by the reciprocal of \frac{4}{x}.

$$factor(\frac{123x}{4}+x^{2})$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2} times \frac{4}{4}.

$$factor(\frac{123x}{4}+\frac{4x^{2}}{4})$$

Since \frac{123x}{4} and \frac{4x^{2}}{4} have the same denominator, add them by adding their numerators.

$$factor(\frac{123x+4x^{2}}{4})$$

Consider 123x+4x^{2}. Factor out x.

$$x\left(123+4x\right)$$

Rewrite the complete factored expression.

$$\frac{x\left(4x+123\right)}{4}$$