Solve 9^2/(s-9)^2-s^2/(s-9)^2=

$$\frac { 9 ^ { 2 } } { ( s - 9 ) ^ { 2 } } - \frac { s ^ { 2 } } { ( s - 9 ) ^ { 2 } } =$$

Evaluate

$$-\frac{s+9}{s-9}$$

Short Solution Steps

Calculate 9 to the power of 2 and get 81.

$$\frac{81}{\left(s-9\right)^{2}}-\frac{s^{2}}{\left(s-9\right)^{2}}$$

Since \frac{81}{\left(s-9\right)^{2}} and \frac{s^{2}}{\left(s-9\right)^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-s^{2}}{\left(s-9\right)^{2}}$$

Factor the expressions that are not already factored in \frac{81-s^{2}}{\left(s-9\right)^{2}}.

$$\frac{\left(s-9\right)\left(-s-9\right)}{\left(s-9\right)^{2}}$$

Cancel out s-9 in both numerator and denominator.

$$\frac{-s-9}{s-9}$$

Expand

$$-\frac{s+9}{s-9}$$

Short Solution Steps

Calculate 9 to the power of 2 and get 81.

$$\frac{81}{\left(s-9\right)^{2}}-\frac{s^{2}}{\left(s-9\right)^{2}}$$

Since \frac{81}{\left(s-9\right)^{2}} and \frac{s^{2}}{\left(s-9\right)^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-s^{2}}{\left(s-9\right)^{2}}$$

Factor the expressions that are not already factored in \frac{81-s^{2}}{\left(s-9\right)^{2}}.

$$\frac{\left(s-9\right)\left(-s-9\right)}{\left(s-9\right)^{2}}$$

Cancel out s-9 in both numerator and denominator.

$$\frac{-s-9}{s-9}$$