Solve (k/3-i)^2

$$( \frac { k } { 3 - i } ) ^ { 2 }$$

Evaluate

$$\left(\frac{2}{25}+\frac{3}{50}i\right)k^{2}$$

Solution Steps

To raise \frac{k}{3-i} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{k^{2}}{\left(3-i\right)^{2}}$$

Calculate 3-i to the power of 2 and get 8-6i.

$$\frac{k^{2}}{8-6i}$$

Expand

$$\left(\frac{2}{25}+\frac{3}{50}i\right)k^{2}$$

Solution Steps

To raise \frac{k}{3-i} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{k^{2}}{\left(3-i\right)^{2}}$$

Calculate 3-i to the power of 2 and get 8-6i.

$$\frac{k^{2}}{8-6i}$$