document.write( "Question 78176: assignment is to simplify this expression: (3-i)^-2\r
\n" ); document.write( "\n" ); document.write( "i get as far as 1/(9-6i+i^2)\r
\n" ); document.write( "\n" ); document.write( "answers sheet says correct answer is (4+3i)/50\r
\n" ); document.write( "\n" ); document.write( "can you help me figure out how to get that answer?\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #56086 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
simplify this expression: (3-i)^-2 = 1/(3-i)^2
\n" ); document.write( "Multiply numerator and denominator by (3+i)^2 to get:
\n" ); document.write( "---------
\n" ); document.write( "(3+i)^2 / 10^2\r
\n" ); document.write( "\n" ); document.write( "= (9+6i-1)/100\r
\n" ); document.write( "\n" ); document.write( "= (8+6i)/100\r
\n" ); document.write( "\n" ); document.write( "= (4+3i)50\r
\n" ); document.write( "\n" ); document.write( "=======================
\n" ); document.write( "
\n" );