How do I simplify into a+bi form 3-3i/3+8i

I have two different answers and I am confused.

=-15-33i/73 and 7i+3 which is correct and why
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

(3 - 3i) / (3 + 8i)
= (3 - 3i)(3 - 8i) / (3 + 8i)(3 - 8i)
= [(3)(3) - (3i)(3) - (3)(8i) + (3i)(8i)] / [3^2 - (8i)^2]
= [9 - 9i - 24i - 24] / [9 + 64]
= [-15 - 33i] / [73]
= (-15/73) - (33/73)i
by

Related questions

1 answer
evaluate and simplify a+bi form (4+8i)-(9-7i)
asked Jun 18, 2013 in Algebra 1 Answers by anonymous | 1.7k views
1 answer
((5/7)+3i)+2/7+8i
asked Jul 2, 2017 in Other Math Topics by Hihi | 675 views
1 answer
(4-3i/7)+2/7+8i-(4-2i)
asked Jul 2, 2017 in Other Math Topics by Hihi | 1.0k views
1 answer
if 2-3i =(4+i)(a+bi), then find the value of a and b.
asked May 6, 2013 in Algebra 1 Answers by anonymous | 1.3k views
1 answer
evaluate and simplify in a+bi form (-3+7i)+(6-i)
asked Jan 8, 2013 in Algebra 2 Answers by anonymous | 1.3k views
1 answer
How do I simplify 1-8i/8-9i?
asked Feb 20, 2013 in Algebra 2 Answers by anonymous | 828 views
1 answer
simplify (1-8i) + (5+5i)
asked May 25, 2013 in Algebra 2 Answers by anonymous | 627 views
3 answers
i to the 100th power in a+bi form
asked Oct 30, 2012 in Algebra 2 Answers by anonymous | 1.9k views
1 answer
put in a+bi form. -(1/1+i) - (2/i)
asked Apr 18, 2012 in Algebra 2 Answers by anonymous | 893 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12รท4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,279 answers
2,420 comments
732,204 users