document.write( "Question 517383: How do you solve (3-2i)^2(3+2i)/(5-i)? The answer from the book is:\r
\n" ); document.write( "\n" ); document.write( "17/2 - 7/2 i\r
\n" ); document.write( "\n" ); document.write( "I don't know how they got this answer. Please help! \n" ); document.write( "

Algebra.Com's Answer #344756 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First perform

using FOIL:

remembering that

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then do

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now you have:

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To rationalize the denominator, multiply the whole fraction by 1 in the form of the conjugate of the denominator divided by itself. Remember that if you have a number

, then its conjugate is

and that the product of two conjugates is the difference of two squares, so

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "With careful arithmetic you will get an integer denominator that can be divided into each of the resulting coefficients in the numerator. Remember that 8.5 is the same as 17/2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "

\n" ); document.write( "My calculator said it, I believe it, that settles it
\n" ); document.write( "

$\"The$

\n" ); document.write( " \n" ); document.write( "

\n" );