Solve 240/x^2-1104/x+1260

$$\frac { 240 } { x ^ { 2 } } - \frac { 1104 } { x } + 1260$$

Evaluate

$$1260-\frac{1104}{x}+\frac{240}{x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{2} and x is x^{2}. Multiply \frac{1104}{x} times \frac{x}{x}.

$$\frac{240}{x^{2}}-\frac{1104x}{x^{2}}+1260$$

Since \frac{240}{x^{2}} and \frac{1104x}{x^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{240-1104x}{x^{2}}+1260$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1260 times \frac{x^{2}}{x^{2}}.

$$\frac{240-1104x}{x^{2}}+\frac{1260x^{2}}{x^{2}}$$

Since \frac{240-1104x}{x^{2}} and \frac{1260x^{2}}{x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{240-1104x+1260x^{2}}{x^{2}}$$

Factor

$$\frac{12\left(5x-2\right)\left(21x-10\right)}{x^{2}}$$