Consider:2(-3i+4)-i(4-i2)
Simplify the expression and then determine a and b that produce an equivalent expression of the form a+bi.
a. A=8,b=11
b. A=8,b=-11
c. A=7,b=-10
d. A=7,b=9

Question

Consider:2(-3i+4)-i(4-i2)
Simplify the expression and then determine a and b that produce an equivalent expression of the form a+bi.
a.	A=8,b=11
b.	A=8,b=-11
c.	A=7,b=-10
d.	A=7,b=9

michele_laino · Answer

first step:
since $i^2=-1$, then we can rewrite such expression as below:
$$\Large   \begin{gathered}
  2\left( { - 3i + 4} \right) - i\left( {4 - {i^2}} \right) =  \hfill \
   \hfill \
   =  - 6i + 8 - i\left( {4 + 1} \right) = ...? \hfill \ 
\end{gathered} $$
please continue

anonymous · Answer

what?