Solve m^2/2+2m+2=

$$\frac { m ^ { 2 } } { 2 + 2 m } + 2 =$$

Evaluate

$$\frac{\left(m+2\right)^{2}}{2\left(m+1\right)}$$

Short Solution Steps

Factor 2+2m.

$$\frac{m^{2}}{2\left(m+1\right)}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{2\left(m+1\right)}{2\left(m+1\right)}.

$$\frac{m^{2}}{2\left(m+1\right)}+\frac{2\times 2\left(m+1\right)}{2\left(m+1\right)}$$

Since \frac{m^{2}}{2\left(m+1\right)} and \frac{2\times 2\left(m+1\right)}{2\left(m+1\right)} have the same denominator, add them by adding their numerators.

$$\frac{m^{2}+2\times 2\left(m+1\right)}{2\left(m+1\right)}$$

Do the multiplications in m^{2}+2\times 2\left(m+1\right).

$$\frac{m^{2}+4m+4}{2\left(m+1\right)}$$

Expand 2\left(m+1\right).

$$\frac{m^{2}+4m+4}{2m+2}$$

Factor

$$\frac{\left(m+2\right)^{2}}{2\left(m+1\right)}$$