How do you simplify #(6-7i)^2#?

1 Answer
Euan S.
Jul 22, 2016

#-13 - 84i#

Explanation:

#(6-7i)^2 = (color(red)(6)color(blue)(-7i))(color(orange)(6)color(purple)(-7i))#

Foil the bracket:

#color(red)(6) * color(orange)(6) + color(red)(6) * (color(purple)(-7i)) + (color(blue)(-7i)) * (color(orange)(6)) + (color(blue)(-7i)) * (color(purple)(-7i))#

#36 - 42i - 42i + 49i^2#

Recall that #i^2 = -1#

#-13 - 84i#

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