Become a math whiz with AI Tutoring, Practice Questions & more.

Join for Free
HotmathMath Homework. Do It Faster, Learn It Better.

Multiplying Complex Numbers

To multiply two complex numbers , use the FOIL method for multiplying binomials , and remember that i 2 = 1 .

Example:

Multiply the two complex numbers 3 + 5 i and 2 + 4 i .

( 3 + 5 i ) ( 2 + 4 i ) = ( 3 ) ( 2 ) + ( 3 ) ( 4 i ) + ( 5 i ) ( 2 ) + ( 5 i ) ( 4 i ) = 6 + 12 i + 10 i + 20 i 2 = 6 + 22 i + 20 ( 1 ) = 14 + 22 i

The product is 14 + 22 i .

Subjects Near Me
Popular Cities
Popular Subjects
;
Download our free learning tools apps and test prep books
varsity tutors app storevarsity tutors google play storevarsity tutors amazon storevarsity tutors ibooks store