How do you evaluate #-2( 6i - 3) + 5i + 10#?

1 Answer
May 14, 2018

Answer:

#-7i + 16#

Explanation:

#-2(6i-3) + 5i + 10#

Use the distributive property to simplify #color(blue)(-2(6i-3))#:
#color(blue)(-2(6i-3) = -12i + 6)#

Put that back into the expression:
#-12i + 6 + 5i + 10#

Color-code the like terms:
#color(red)(-12i) quadcolor(green)(+quad6) quadcolor(red)(+quad5i) quadcolor(green)(+quad10)#

Combine the like terms:
#-7i + 16#

Hope this helps!