document.write( "Question 687599: Please perform the following operations with complex numbers: (2+i)(2-3i) \n" ); document.write( "
Algebra.Com's Answer #425254 by josh_jordan(263)\"\" \"About 
You can put this solution on YOUR website!
To simplify, you will use the FOIL method:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First x First = 2 x 2 = 4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Outside x Outside = 2 x -3i = -6i\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Inside x Inside = i x 2 = 2i\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Last x Last = i x -3i = \"-3i%5E2\" = -3 x -1 = 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now, just add everything together:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4 + -6i + 2i + 3 = 7 - 4i\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Final Answer: 7 - 4i
\n" ); document.write( "
\n" );