Write -2i + (9 − 3i) − (6 − 10i) as a complex number in standard form.
3 − 5i
3 + 5i
3 + 16i
12 − 16i

- anonymous

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- anonymous

can you help @Nnesha and @sohailiftikhar

- Nnesha

first of all distribute 2nd parentheses by negative one

- Nnesha

|dw:1438709754483:dw|
-1(6-10i) distribute

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## More answers

- anonymous

-6+10i

- sohailiftikhar

it's 3+5i

- Nnesha

yep right now combine *like terms \[\huge\rm -2i+9-3i -6+10i\]

- anonymous

but if i was to distribute to the first part both numbers would be imaginary

- anonymous

3+5i

- Nnesha

do you mean first parentheses ?

- anonymous

yeah

- Nnesha

there is a plus sign so you don't have to distribute
just remove the parentheses

- sohailiftikhar

\[-2i-3i+10i+9-6=3i+5\]

- sohailiftikhar

you just have to add or subtract like numbers only

- anonymous

|dw:1438709987964:dw| was how they showed me

- anonymous

that was the example they gave me

- anonymous

can you help with this problem as well?
Write (21 − 4i) − (16 + 7i) + 28i as a complex number in standard form.
5 + 39i
5 + 17i
5 − 39i
5 − 17i

- Nnesha

yep they shows what are like terms
3i and 5i are like terms
so combine them add their coefficient (3+5)i = 8i

- sohailiftikhar

ok Nnesha you here

- Nnesha

same like last one so what would be the first step ?

- anonymous

okay so this one i would combine right ?

- Nnesha

nope that's 2nd step

- Nnesha

\[ \huge\rm (21 − 4i) \color{ReD}{−} (16 + 7i) + 28i \] there is a negative sign so.?

- sohailiftikhar

lol it's not a level of child Nnesha

- Nnesha

what do you mean by that ?

- anonymous

i would add a 1?

- sohailiftikhar

just combine the terms and get answer what is that mean by 1st step and 2nd ?

- Nnesha

there are steps to solve any math questions

- sohailiftikhar

yes but we have to see where we need then or where we can directly

- Nnesha

1st step) distribute parentheses by -1
2nd) combine like terms
how would you combine them first without applying distributive property ?

- anonymous

21- 16 would be 5 and it would be subtraction after that right ?

- sohailiftikhar

so if you have given with a lengthy Question and then you will still use every basic step huh ?

- Nnesha

\(\color{blue}{\text{Originally Posted by}}\) @sohailiftikhar
just combine the terms and get answer what is that mean by 1st step and 2nd ?
\(\color{blue}{\text{End of Quote}}\)
first distribute parentheses

- Nnesha

if you start with combining like terms you would get wrong answer

- sohailiftikhar

what if you are solving multiple choices and you have short time to do them huh ?

- anonymous

the last part would be 17 but is it negative ?

- Nnesha

you can't get wright answer without doing first step.

- sohailiftikhar

not for this Question

- Nnesha

right*

- Nnesha

at this point we should focus on this question.

- anonymous

agreed ^

- anonymous

so it would be 5+17I right?

- sohailiftikhar

yes so it can solve by just adding terms

- sohailiftikhar

ok don't mind this bye

- anonymous

thanks again guys you've been a really big help!!!

- sohailiftikhar

no problem buddy

- Nnesha

\(\color{blue}{\text{Originally Posted by}}\) @sohailiftikhar
yes so it can solve by just adding terms
\(\color{blue}{\text{End of Quote}}\)
again first we have to distribute the parentheses

- sohailiftikhar

yes but we done this in our mind not on page because it's simple in this case

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