Solve g^2/(s-g)^2-s^2/(s-g)^2

$$\frac { g ^ { 2 } } { ( s - g ) ^ { 2 } } - \frac { s ^ { 2 } } { ( s - g ) ^ { 2 } }$$

Evaluate

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

Short Solution Steps

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

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

Expand \left(s-g\right)^{2}.

$$\frac{g^{2}-s^{2}}{s^{2}-2gs+g^{2}}$$

Expand

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

Short Solution Steps

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

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

Expand \left(s-g\right)^{2}.

$$\frac{g^{2}-s^{2}}{s^{2}-2gs+g^{2}}$$