How do you simplify #(- 6- 6i ) - 17i - ( - 7- 6i )#?

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Answer 1 · 2017-12-30T19:41:28

#1-17i#

#"distribute brackets and collect like terms"#

#=color(blue)(-6)color(red)(-6i)color(red)(-17i)color(blue)(+7)color(red)(+6i)#

#=1-17i#

Answer 2 · 2017-12-30T19:41:36

#1-17i#

#(-6-6i)-17i-(-7-6i)#

expand brackets:

#-6 - 6i - 17i + 7 + 6i#

collect like terms:

#-6 + 7 = 1#

#-6i-17i+6i = -17i#

add like terms together:

#1-17i#

in #a+bi# form, the simplified number is #1-17i#