Solve 9999^2/6-99998^2/5

$$\frac { 9999 ^ { 2 } } { 6 } - \frac { 99998 ^ { 2 } } { 5 }$$

Evaluate

$$-\frac{19832566673}{10}=-1983256667.3$$

Solution Steps

Calculate 9999 to the power of 2 and get 99980001.

$$\frac{99980001}{6}-\frac{99998^{2}}{5}$$

Reduce the fraction \frac{99980001}{6} to lowest terms by extracting and canceling out 3.

$$\frac{33326667}{2}-\frac{99998^{2}}{5}$$

Calculate 99998 to the power of 2 and get 9999600004.

$$\frac{33326667}{2}-\frac{9999600004}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{33326667}{2} and \frac{9999600004}{5} to fractions with denominator 10.

$$\frac{166633335}{10}-\frac{19999200008}{10}$$

Since \frac{166633335}{10} and \frac{19999200008}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{166633335-19999200008}{10}$$

Subtract 19999200008 from 166633335 to get -19832566673.

$$-\frac{19832566673}{10}$$

Factor

$$-\frac{19832566673}{10} = -1983256667\frac{3}{10} = -1983256667.3$$