How do you multiply #(-3+5i)(-5+7i)#?

Question

How do you multiply #(-3+5i)(-5+7i)#?

1 Answer

Impact of this question

3534 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-11T01:54:36

# (-3+5i)(-5+7i) = -20-46i#

Explanation:

Multiplying out the brackets term by term gives:

# (-3+5i)(-5+7i) #
# \ \ \ \ \ = (-3)(-5) + (-3)(7i) + (5i)(-5)+(5i)(7i)#
# \ \ \ \ \ = 15-21i-25i+35i^2#
# \ \ \ \ \ = 15-46i+35i^2#
# \ \ \ \ \ = 15-46i-35 " " (because i^2=-1)#
# \ \ \ \ \ = -20-46i#

Science

Math

Humanities

... and beyond

How do you multiply #(-3+5i)(-5+7i)#?

1 Answer

Explanation:

Related questions

Impact of this question