perform each operation and write all answers in abi form per

perform each operation and write all answers in a+bi form

perform each operation and write all answers in a+bi form 1 + i/1 - i

Solution

(1 + i)/(1 - i)

= [(1+i)*(1 + i)]/[(1 - i)*(1 + i)]

= (1 + i)^2/(1^2 - i^2)

= (1 + 2i + i^2)/(1 - (-1))

= (1 + 2i - 1)/(1 + 1)

= 2i/2

= i

= 0 + i*1