document.write( "Question 67184This question is from textbook 0-534-49449-8
\n" ); document.write( ": EXPRESS 3+i/1+2i in the form a+bi where a and b are real numbers.\r
\n" ); document.write( "\n" ); document.write( "\"+%283%2Bi%29%2F%281%2B2i%29+\" \n" ); document.write( "
Algebra.Com's Answer #47764 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
EXPRESS 3+i/1+2i in the form a+bi where a and b\r\n" );
document.write( "are real numbers.\r\n" );
document.write( "\r\n" );
document.write( "\"+%283%2Bi%29%2F%281%2B2i%29+\"\r\n" );
document.write( "\r\n" );
document.write( "The conjugate of the denominator is formed by\r\n" );
document.write( "copying it but changing the sign of the coeffcient\r\n" );
document.write( "of i. Therefor the conjugate of 1+2i is 1-2i. So\r\n" );
document.write( "we multiply by the fraction\"%281-2i%29%2F%281-2i%29\"\r\n" );
document.write( "which just equals 1 and will not change the value\r\n" );
document.write( "\r\n" );
document.write( "\"+%283%2Bi%29%2F%281%2B2i%29+\"·\"+%281-2i%29%2F%281-2i%29+\"\r\n" );
document.write( "\r\n" );
document.write( "Indicate multiplication of numerators and denominators:\r\n" );
document.write( "\r\n" );
document.write( "\"+%28%283%2Bi%29%281-2i%29%29%2F%28%281%2B2i%29%281-2i%29%29+\"\r\n" );
document.write( "\r\n" );
document.write( "FOIL out the top and bottom:\r\n" );
document.write( "\r\n" );
document.write( "\"+%283-6i%2Bi-2i%5E2%29%2F%281-2i%2B2i-4i%5E2%29+\"\r\n" );
document.write( "\r\n" );
document.write( "Combine like terms:\r\n" );
document.write( "\r\n" );
document.write( "\"+%283-5i-2i%5E2%29%2F%281-4i%5E2%29+\"\r\n" );
document.write( "\r\n" );
document.write( "Replace \"i%5E2\" by \"-1\"\r\n" );
document.write( "\r\n" );
document.write( "\"+%283-5i-2%28-1%29%29%2F%281-4%28-1%29%29+\"\r\n" );
document.write( "\r\n" );
document.write( "Simplify\r\n" );
document.write( "\r\n" );
document.write( "\"%283-5i%2B2%29%2F%281%2B4%29\"\r\n" );
document.write( "\r\n" );
document.write( "Combine like terms:\r\n" );
document.write( "\r\n" );
document.write( "\"%285+-+5i%29%2F5\"\r\n" );
document.write( "\r\n" );
document.write( "Make two fractions:\r\n" );
document.write( "\r\n" );
document.write( "\"5%2F5+-+5i%2F5\"\r\n" );
document.write( "\r\n" );
document.write( "Simplify\r\n" );
document.write( "\r\n" );
document.write( "\"1+-+i\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );