How do you simplify #(8-6i)(-4-4i)#?

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Answer 1 · 2016-12-03T01:48:52

#-56-8i#

#(color(red)8color(blue)(-6i))(color(magenta)(-4)color(green)(-4i))#

Multiply each term in the first expression by each term in the second expression (or FOIL).

#(color(red)8 * color(magenta)(-4))+(color(red)8 * color(green)(-4i))+(color(blue)(-6i) * color(magenta)(-4))+(color(blue)(-6i) * color(green)(-4i))#

#-32-32i+24i+24i^2#

Combine like terms

#-32-8i+24i^2#

Recall that #i^2=-1#

#-32-8i +24(-1)#

#-32-8i-24#

Again, combine like terms

#-56-8i#