![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
The expression is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=6be5b8766e4fb8b217ab20cf046caf93.png\")
.
\
The FOIL method can be used to multiply the complex numbers.
\Foil method: the product of two binomials is the sum of the products of the First terms, the Outer terms, the Inner terms and the Last terms.
\The word FOIL is an acronym for the four terms of the product.
\![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=aeac3bd6f01acd2c64c2cd546845d5a2.png\")
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Multiply the complex numbers using FOIL method
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=91fa62a743fa154227b3420c02caa4df.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=2a6bae4e7887df0512488aaafc41511b.png\")
(Multiply: ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0d43e5d118fc95a453f71b169998dfc4.png\")
)
\
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=5e6e8514a81f342b48ff19f80c84c0af.png\")
(Multiply: ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=324fd8682e8288f15936c4ffaa9c03b1.png\")
)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3cb702afe70d56e14f3f6102a9388367.png\")
(Distributive property: ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7466e84b399715166164ca22e658bbad.png\")
)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ab5690cca10a171f7ee9f87139a40271.png\")
(Subtract: ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7cdb70e498241f3721de6ed946f5822e.png\")
)![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step3.JPG\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=723e794670f18af8726cf285f7eab795.png\")
(Substitute the imaginary unit value ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=c4245356ccd8afe3d872357bdcbf32ac.png\")
)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8e57afcb8cf501afbf3c3245f57e42be.png\")
(Product of two different signs is negative)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=fc8b71f01ef7f543e97377437f8021cb.png\")
(Commutative property: a + b = b + a)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=92bf0133eef8ee25bb67c859b623f03c.png\")
(Subtract: ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d54bce05c10c6b4be468ccf49d8afcc4.png\")
)![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The simplified expression is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=48f9b661661bae7fe0347b6a5ada4b66.png\")
.