Solve k/k-5+k-1/k+5= | Microsoft Math Solver

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\frac{k\left(k+5\right)}{\left(k-5\right)\left(k+5\right)}+\frac{\left(k-1\right)\left(k-5\right)}{\left(k-5\right)\left(k+5\right)}

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of k-5 and k+5 is \left(k-5\right)\left(k+5\right). Multiply \frac{k}{k-5} times \frac{k+5}{k+5}. Multiply \frac{k-1}{k+5} times \frac{k-5}{k-5}.

\frac{k\left(k+5\right)+\left(k-1\right)\left(k-5\right)}{\left(k-5\right)\left(k+5\right)}

Since \frac{k\left(k+5\right)}{\left(k-5\right)\left(k+5\right)} and \frac{\left(k-1\right)\left(k-5\right)}{\left(k-5\right)\left(k+5\right)} have the same denominator, add them by adding their numerators.

\frac{k^{2}+5k+k^{2}-5k-k+5}{\left(k-5\right)\left(k+5\right)}

Do the multiplications in k\left(k+5\right)+\left(k-1\right)\left(k-5\right).

\frac{2k^{2}-k+5}{\left(k-5\right)\left(k+5\right)}

Combine like terms in k^{2}+5k+k^{2}-5k-k+5.