Solve -15824/a^2+720/a-9

$$\frac{ -15824 }{ { a }^{ 2 } } + \frac{ 720 }{ a } -9$$

Evaluate

$$-9+\frac{720}{a}-\frac{15824}{a^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of a^{2} and a is a^{2}. Multiply \frac{720}{a} times \frac{a}{a}.

$$\frac{-15824}{a^{2}}+\frac{720a}{a^{2}}-9$$

Since \frac{-15824}{a^{2}} and \frac{720a}{a^{2}} have the same denominator, add them by adding their numerators.

$$\frac{-15824+720a}{a^{2}}-9$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 9 times \frac{a^{2}}{a^{2}}.

$$\frac{-15824+720a}{a^{2}}-\frac{9a^{2}}{a^{2}}$$

Since \frac{-15824+720a}{a^{2}} and \frac{9a^{2}}{a^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-15824+720a-9a^{2}}{a^{2}}$$

Factor

$$-\frac{9a^{2}-720a+15824}{a^{2}}$$