How do you multiply #-4i(3-5i)#? Precalculus Complex Numbers in Trigonometric Form Multiplication of Complex Numbers 1 Answer Shwetank Mauria Apr 17, 2016 #-4i(3-5i)=-20-12i# Explanation: #-4i(3-5i)=(-4i)xx3-(-4i)xx(5i)=-12i+20i^2# It is assumed that #i# is not a variable, but is a unit imaginary number and hence #i^2=-1# and hence #-4i(3-5i)=-12i+20i^2=-12i-20# or #-20-12i# Answer link Related questions How do I multiply complex numbers? How do I multiply complex numbers in polar form? What is the formula for multiplying complex numbers in trigonometric form? How do I use the modulus and argument to square #(1+i)#? What is the geometric interpretation of multiplying two complex numbers? What is the product of #3+2i# and #1+7i#? How do I use DeMoivre's theorem to solve #z^3-1=0#? How do I find the product of two imaginary numbers? How do you simplify #(2+4i)(2-4i)#? How do you multiply #(-2-8i)(6+7i)#? See all questions in Multiplication of Complex Numbers Impact of this question 2398 views around the world You can reuse this answer Creative Commons License