Solve 2(m+2/2-1)^2-1

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

Evaluate

$$\frac{m^{2}}{2}-1$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

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

Since \frac{m+2}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

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

Combine like terms in m+2-2.

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

To raise \frac{m}{2} to a power, raise both numerator and denominator to the power and then divide.

$$2\times \frac{m^{2}}{2^{2}}-1$$

Express 2\times \frac{m^{2}}{2^{2}} as a single fraction.

$$\frac{2m^{2}}{2^{2}}-1$$

Cancel out 2 in both numerator and denominator.

$$\frac{m^{2}}{2}-1$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

$$\frac{m^{2}}{2}-\frac{2}{2}$$

Since \frac{m^{2}}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{m^{2}-2}{2}$$

Expand

$$\frac{m^{2}}{2}-1$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

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

Since \frac{m+2}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

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

Combine like terms in m+2-2.

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

To raise \frac{m}{2} to a power, raise both numerator and denominator to the power and then divide.

$$2\times \frac{m^{2}}{2^{2}}-1$$

Express 2\times \frac{m^{2}}{2^{2}} as a single fraction.

$$\frac{2m^{2}}{2^{2}}-1$$

Cancel out 2 in both numerator and denominator.

$$\frac{m^{2}}{2}-1$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

$$\frac{m^{2}}{2}-\frac{2}{2}$$

Since \frac{m^{2}}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{m^{2}-2}{2}$$