Question

Quick Question. I need help understanding steps to an example problem. Medal to most helpful.

Answer 1

What is the resulting product of (x + (2 + 3i))^2?

Answer 2

kk. im here

Answer 3

Let me write it all out.

Answer 4

x^2-4x+13

Answer 5

@Carpe_Diem77
@Spinex12

Answer 6

This is the example problem they gave me. I have to solve a problem similar to it, but I'm stuck because I don't know how they got the third number, 12, in the third step.

Answer 7

oh......... um.............. i messaged carpe to help she might be coming

Answer 8

Alright. thanks.

Answer 9

carpe, do u know?

Answer 10

ummmm no I would have to take some time to solve it but im a little busy....let @MathHelpPls help you

Answer 11

kk

Answer 12

what is ur guess so far

Answer 13

@StudyBuddy17

Answer 14

\[[x+(2+3i)]^{2}\]
\[x^{2}+2[x \times(2+3i)]+(2+3i)^{2}\]
\[x^{2}+2(2x+3x i)+(4+12i+9i)^{2}\]
\[x^{2}+4x+6x i+4+12i-9\]
\[x^{2}+4x+6x i+12i-5\]

Answer 15

I don't know where the 12i came from in the third step. I'm thinking...

Answer 16

@souleaterz

Answer 17

kk

Answer 18

@Hero @SolomonZelman @mathmale Could you help me?

Answer 19

\[[x+(2+3i)]^2\] is essentially the square of a binomial.
What is \[(a+b)^2 ?\]

Answer 20

@dgcfhjmtyrfccvbcfgb should be banned

Answer 21

i read her other emails

Answer 22

\[(a + b)^{2} = a^{2} + 2ab + b^{2}\]

Answer 23

ummm....

Answer 24

idk

Answer 25

i couldnt figure it out

Answer 26

gtg bye

Answer 27

@mathmale

Answer 28

(a+b)^2=a^2+2ab+b^2 is correct. Thanks.

Following this pattern, expand the following:

(x + (2 + 3i))^2 (Treat x as you did 'a' and treat (+3i) as you did 'b.'

Answer 29

i just don't understand how they got 12i.

Answer 30

i understand all of the steps except when they inserted 12i in the third step.

Answer 31

Your \[x^{2}+2[x \times(2+3i)]+(2+3i)^{2}\]

Answer 32

is fine.

Answer 33

\[x^{2}+2[x \times(2+3i)]+(2+3i)^{2}\]

Answer 34

if you multiply out the middle term, you get 2x(2+3i), or 4x+6i. Agree or disagree?

Answer 35

wouldn't it be 4x + 6xi?

Answer 36

Note: the last term of your \[x^{2}+2(2x+3x i)+(4+12i+9i)^{2}\]

Answer 37

is incorrect because you have already squared (2+3i). Please note that the square of this binomial is 4 + 6i +9(-1 See whether this helps you to understand where that 12i comes from.

Answer 38

I'm sorry to be leaving in mid-stream, but have another commitment to take care of now. Good luck!

Answer 39

I think I got it. Thanks.