How do you simplify #(5 + 2i ) - ( 2 + 3i )#? Precalculus Complex Numbers in Trigonometric Form Complex Number Plane 1 Answer Rachel Feb 25, 2016 #3-i# Explanation: If we begin with #(5+2i)-(2+3i)#, the first step is to multiply the #-1# into the #2+3i# parentheses, which becomes #5+2i-2-3i#. From here we just combine like-terms, like #5# and #-2#, as well as #2i# and #-3i#. This leaves us with #3-i#. 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 6406 views around the world You can reuse this answer Creative Commons License