Solve z=2/1-i-i^3

$$z = \frac { 2 } { 1 - i } - i ^ { 3 }$$

Solve for z

$$z=1+2i$$

Steps for Solving Linear Equation

Multiply both numerator and denominator of \frac{2}{1-i} by the complex conjugate of the denominator, 1+i.

$$z=\frac{2\left(1+i\right)}{\left(1-i\right)\left(1+i\right)}-i^{3}$$

Do the multiplications in \frac{2\left(1+i\right)}{\left(1-i\right)\left(1+i\right)}.

$$z=\frac{2+2i}{2}-i^{3}$$

Divide 2+2i by 2 to get 1+i.

$$z=1+i-i^{3}$$

Calculate i to the power of 3 and get -i.

$$z=1+i-\left(-i\right)$$

The opposite of -i is i.

$$z=1+i+i$$

Add 1+i and i to get 1+2i.

$$z=1+2i$$

Assign z

$$z≔1+2i$$