Solve (n+k)^2/n-k*n/n^2+nk

$$\frac { ( n + k ) ^ { 2 } } { n - k } \cdot \frac { n } { n ^ { 2 } + n k }$$

Evaluate

$$\frac{n+k}{n-k}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{n}{n^{2}+nk}.

$$\frac{\left(n+k\right)^{2}}{n-k}\times \frac{n}{n\left(n+k\right)}$$

Cancel out n in both numerator and denominator.

$$\frac{\left(n+k\right)^{2}}{n-k}\times \frac{1}{n+k}$$

Multiply \frac{\left(n+k\right)^{2}}{n-k} times \frac{1}{n+k} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(n+k\right)^{2}}{\left(n-k\right)\left(n+k\right)}$$

Cancel out n+k in both numerator and denominator.

$$\frac{n+k}{n-k}$$

Expand

$$\frac{n+k}{n-k}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{n}{n^{2}+nk}.

$$\frac{\left(n+k\right)^{2}}{n-k}\times \frac{n}{n\left(n+k\right)}$$

Cancel out n in both numerator and denominator.

$$\frac{\left(n+k\right)^{2}}{n-k}\times \frac{1}{n+k}$$

Multiply \frac{\left(n+k\right)^{2}}{n-k} times \frac{1}{n+k} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(n+k\right)^{2}}{\left(n-k\right)\left(n+k\right)}$$

Cancel out n+k in both numerator and denominator.

$$\frac{n+k}{n-k}$$