Question

PLEASE HELP Multiply the following complex numbers. Reduce terms and simplify. Explain how your simplified result and the first term in the pair below are related algebraically to each other and to the complex number (1 + i).
(IN THE PICTURE BELOW IT HAS A TIMES SYMBOLE BETWEEN)

Answer 1

           1 - j
=         -----
           1 - j^2

j^2 = -1 

so the answer is     ( 1 - j) / 1 - (-1)  = (1-. j ) / 2

= 0.5 - 0.5j

Answer 2

SOS

Answer:

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

Step-by-step explanation:

*i is the imaginary number

$\frac{1-i}{1-i}=1$

$\mathrm{Multiply:}\:\frac{1}{1+i}\cdot \:1=\frac{1}{1+i}$

$\mathrm{Rationalize\:}\frac{1}{1+i}:\quad \frac{1-i}{2}$

$\mathrm{Rewrite\:}\frac{1-i}{2}\mathrm{\:in\:standard\:complex\:form:\:}\frac{1}{2}-\frac{1}{2}i$

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

Hope this helps!!!