How do you simplify #(-4+6i)-(-5+4i)#? Precalculus Complex Numbers in Trigonometric Form Complex Number Plane 1 Answer Rafael Feb 29, 2016 #1+2i# Explanation: #[1]" "(-4+6i)-(-5+4i)# Distribute the #-1# into #(-5+4i)#. #[2]" "=-4+6i+5-4i# Combine "like terms". #[3]" "=(-4+5)+(6i-4i)# #[4]" "=color(red)(1+2i)# Answer link Related questions What is the complex number plane? Which vectors define the complex number plane? What is the modulus of a complex number? How do I graph the complex number #3+4i# in the complex plane? How do I graph the complex number #2-3i# in the complex plane? How do I graph the complex number #-4+2i# in the complex plane? How do I graph the number 3 in the complex number plane? How do I graph the number #4i# in the complex number plane? How do I use graphing in the complex plane to add #2+4i# and #5+3i#? How do I use graphing in the complex plane to subtract #3+4i# from #-2+2i#? See all questions in Complex Number Plane Impact of this question 2461 views around the world You can reuse this answer Creative Commons License