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

1. anonymous

can you help @Nnesha and @sohailiftikhar

2. Nnesha

first of all distribute 2nd parentheses by negative one

3. Nnesha

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

4. anonymous

-6+10i

5. anonymous

it's 3+5i

6. Nnesha

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

7. anonymous

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

8. anonymous

3+5i

9. Nnesha

do you mean first parentheses ?

10. anonymous

yeah

11. Nnesha

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

12. anonymous

$-2i-3i+10i+9-6=3i+5$

13. anonymous

you just have to add or subtract like numbers only

14. anonymous

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

15. anonymous

that was the example they gave me

16. 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

17. Nnesha

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

18. anonymous

ok Nnesha you here

19. Nnesha

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

20. anonymous

okay so this one i would combine right ?

21. Nnesha

nope that's 2nd step

22. Nnesha

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

23. anonymous

lol it's not a level of child Nnesha

24. Nnesha

what do you mean by that ?

25. anonymous

26. anonymous

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

27. Nnesha

there are steps to solve any math questions

28. anonymous

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

29. Nnesha

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

30. anonymous

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

31. anonymous

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

32. 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

33. Nnesha

34. anonymous

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

35. anonymous

the last part would be 17 but is it negative ?

36. Nnesha

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

37. anonymous

not for this Question

38. Nnesha

right*

39. Nnesha

at this point we should focus on this question.

40. anonymous

agreed ^

41. anonymous

so it would be 5+17I right?

42. anonymous

yes so it can solve by just adding terms

43. anonymous

ok don't mind this bye

44. anonymous

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

45. anonymous

no problem buddy

46. 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

47. anonymous

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