Question

Simplify the given expression.
(−3 + 2i) • (2 + i)

Answer 1

@jim_thompson5910

Answer 2

FOIL it out and tell me what you get

Answer 3

ok brb

Answer 4

alright

Answer 5

I got -3+4i is that correct?

Answer 6

it might help to break

(−3 + 2i) • (2 + i)

up into

-3(2 + i) + 2i(2 + i)

Answer 7

then you distribute to get

-3(2 + i) + 2i(2 + i)

-6 -3i + 4i + 2i^2

I'll let you finish up

Answer 8

-1+2i ! :D

Answer 9

i^2 = -1, so 2i^2 = 2(-1) = -2

Answer 10

-6 -3i + 4i + 2i^2

-6 -3i + 4i - 2

what's the last step?

Answer 11

to add?

Answer 12

yes to combine like terms

Answer 13

-8+i? originally I got 7 but thats not an answer choice

Answer 14

-8+i is correct

Answer 15

yes ! thankyouu !

Answer 16

you're welcome

Answer 17

Simplify the given expression.

(4 + 2i) − (1 − 7i)

im doing this one nowim going to do it and see if i get it right plz

Answer 18

ok don't forget to distribute fully

Answer 19

3-5i ?

Answer 20

(4 + 2i) − (1 − 7i)

4 + 2i − 1 + 7i ... you forgot to distribute the negative fully through

now what do you get?

Answer 21

5+9i !!?

Answer 22

4-1 is not 5 though

Answer 23

4 + 2i − 1 + 7i

(4-1) + (2i + 7i)

????

Answer 24

3+9i

Answer 25

perfect

Answer 26

GOT IT

Answer 27

@jim_thompson5910 New question ... its same question but its 2 over 2+5i

Answer 28

the conjugate of 2+5i is 2-5i

Answer 29

so multiply top and bottom by 2-5i

Answer 30

I ended up with 4 over 29

Answer 31

that's incorrect

Answer 32

and then 2 over 49 those are both choices but idk which one is correct

Answer 33

the other answers make no sense to me

Answer 34

what is (2+5i)(2-5i) equal to?

Answer 35

and when i did the problem came nowhere near

Answer 36

4 over 10?

Answer 37

4+10 over 29 ?

Answer 38

(2+5i)(2-5i) = 2(2-5i) + 5i(2-5i) = ???

Answer 39

Then its minus 10

Answer 40

so it would be 4-10i over 29

Answer 41

4-10i over 29 is correct