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Multiply Complex Numbers

How to multiply complex numbers, complex conjugates

To multiply to complex numbers such as (4+5i )(3+2i) , you can treat each one as a binomial and apply the FOIL method to find the product.

multiply the firsts 4 ×3 = 12
multiply the outers 4 × 2i = 8 i
multiply the inners 5i ×3 = 15i
multiply the lasts 5 i × 2 i = 10i²= -10

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This page: foil complex binomials | complex conjugate
Related Page:imaginary number |complex number introduction| solving equations with complex numbers | absolute value

Complex Conjugate

Complex conjugates are any pair of complex number binomials that look like the following pattern: (a + bi) & (a-bi)

(3 - 2i )( 3 +2i)
(5 + 12i )( 5 - 12i)
(7 - 33 i )( 7 +33i)

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