Evaluate the expression and write the result in the form
a + bi.

Question

Evaluate the expression and write the result in the form 
a + bi.

anonymous · Answer

$$(4 + 2i)(6 − i)/(2 + i)$$

anonymous · Answer

$$\Large (4+2i)\cdot \frac{6-i}{2+i}=\frac{24-4i+12i-2i^2 }{2+i}$$
$$\Large =\frac{24+8i+2 }{2+i}=\frac{26+8i}{2+i}$$
$$\Large =\frac{26+8i}{2+i}\cdot \frac{2-i}{2-i}=\frac{52 +16i -26i-8i^2}{2-i^2}=$$
$$\Large  =\frac{52-10i+8}{2+1}=\frac{ 60-10i}{3}=$$
$$ \Large =\frac{60}{3}-\frac{10}{3}i=20-\frac{10}{3}i$$

anonymous · Answer

about rationalizin part im not sure... (Never used it before...) But it seems the only way to get the answer :) ...

anonymous · Answer

auff.... there's a problem.. to the rationalize part you multiply 2 times 2 and you get 4... not 2 , just correct that one.

anonymous · Answer

$$\Large \frac{60 -10i}{5}=...$$

anonymous · Answer

12-2i

anonymous · Answer

thanks

anonymous · Answer

yw

anonymous · Answer

just used algebra from what i can see right?