How do you simplify ( 3 + i ) ( 3 + i )? Precalculus Complex Numbers in Trigonometric Form Multiplication of Complex Numbers 1 Answer Topscooter Jan 8, 2016 8+6i Explanation: It is the known square (a+b)^2. So you apply its formula to this complex number. (3+i)(3+i) = (3+i)^2 = 3^2 + 2*3i+i^2 = 9 + 6i - 1 = 8+6i 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 1782 views around the world You can reuse this answer Creative Commons License