How do you simplify #(1+i)(1-i)#? Precalculus Complex Numbers in Trigonometric Form Multiplication of Complex Numbers 1 Answer Ratnaker Mehta Aug 1, 2016 #2#. Explanation: We use the Identity # : (a+b)(a-b)=a^2-b^2, and, i^2=-1#. Hence, the given Expression#=1^2-i^2=1-(-1)=1+1=2#. 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 22900 views around the world You can reuse this answer Creative Commons License