Perform the operation and write the answer in a+bi form. 1.) (3-7i)(6-2i) 2.) 3+4i/3-4i

Question

Perform the operation and write the answer in a+bi form.

1.) (3-7i)(6-2i)

2.)3+4i/3-4i

 

Please show work and explain.

Answer 1

To so;lve this you use the distributive rule

 

(3-7i)(6-2i)=3.6+3.2i+7i.6+7i.2i

                 =18+6i+42i+14.(i^2)

                 =18+48i+14(-1)

                 =18+48i-14

                 =18-14+48i

                 =4+48i

 

Submitted by

Jonathan M.

For the Second one 3+4i/3-4i You start by multiplying both Numerator and denominator by 3+4i (3+4i)(3+4i)/(3-4i)(3+4i) =9+2.12i+16(i^2)/(3.3-4i.4i) =9-16+24i/(9-(-16) =(-7+24i)/25