Solve z=1+1/(1-i)(1+i)

$$z = \frac { 1 + 1 } { ( 1 - i ) ( 1 + i ) }$$

Solve for z

$$z=1$$

Steps for Solving Linear Equation

Add 1 and 1 to get 2.

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

Multiply complex numbers 1-i and 1+i like you multiply binomials.

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

By definition, i^{2} is -1.

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

Do the multiplications in 1\times 1+i-i-\left(-1\right).

$$z=\frac{2}{1+i-i+1}$$

Combine the real and imaginary parts in 1+i-i+1.

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

Do the additions in 1+1+\left(1-1\right)i.

$$z=\frac{2}{2}$$

Divide 2 by 2 to get 1.

$$z=1$$

Assign z

$$z≔1$$