How do you combine like terms in #6i( \frac { 9} { 2} - i) - 4( \frac { 3} { 4} + 5i )#?

1 Answer
Jim G.
Jan 3, 2017

#7i+3#

Explanation:

distributing the brackets gives.

#color(red)(27i)-6i^2-3color(red)(-20i)#

#=color(red)(27i-20i)-6i^2-3#

#=color(red)(7i)-6i^2-3#

#color(orange)"Reminder: " i^2=(sqrt(-1))^2=-1#

#rArr7i-6i^2-3=7i+6-3=7i+3#

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