document.write( "Question 676167: write the expression in standard form of a+bi :3-2i/1+2i not sure were to start i want to multiply by the conjugate but that doesnt leave me with the right form? \n" ); document.write( "

Algebra.Com's Answer #420199 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+%28+3+-+2%2Ai+%29+%2F+%28+1+%2B+2%2Ai+%29+\"$
\n" ); document.write( " $\"+%28%28+3+-+2%2Ai+%29+%2F+%28+1+%2B+2%2Ai+%29%29%2A%28+1+-+2%2Ai+%29+%2F+%28+1+-+2%2Ai+%29+\"$
\n" ); document.write( "Note that I am just multiplying by $\"+a%2Fa+=+1+\"$
\n" ); document.write( " $\"+%28%28+3+-+2%2Ai+%29%2A%28+1+-+2%2Ai+%29%29+%2F+%28%28+1+-+2%2Ai+%29%2A%28+1+%2B+2i+%29%29+\"$
\n" ); document.write( " $\"+%28%28+3+-+2%2Ai+%29%2A%28+1+-+2%2Ai+%29%29+%2F+%28+1+-+4%2A%28-1%29%29+\"$
\n" ); document.write( " $\"+%28%28+3+-+2%2Ai+%29%2A%28+1+-+2%2Ai+%29%29+%2F+5+\"$
\n" ); document.write( " $\"+%28+3+-+2%2Ai+-+6%2Ai+%2B+4%2A%28-1%29+%29+%2F+5+\"$
\n" ); document.write( " $\"+%28+-1+-+8%2Ai+%29+%2F+5+\"$
\n" ); document.write( " $\"+-1%2F5+-+%288%2F5%29%2Ai+\"$
\n" ); document.write( "----------------
\n" ); document.write( "I should be able to check by making it equal to
\n" ); document.write( "the original expression
\n" ); document.write( " $\"+%28+3+-+2%2Ai+%29+%2F+%28+1+%2B+2%2Ai+%29+=+%28+-1+-+8%2Ai+%29+%2F+5+\"$
\n" ); document.write( " $\"+%285%2A%28+3+-+2%2Ai+%29%29+%2F+%28+1+%2B+2%2Ai+%29+=++-1+-+8%2Ai++\"$
\n" ); document.write( " $\"+%28+15+-+10%2Ai+%29+%2F+%28+1+%2B+2%2Ai+%29+=+-1+-+8%2Ai+\"$
\n" ); document.write( " $\"+15+-+10%2Ai+=+-1%2A%281+%2B+2%2Ai+%29%2A%28+1+%2B+8%2Ai+%29+\"$
\n" ); document.write( " $\"+15+-+10%2Ai+=+-1%2A%28+1+%2B+2%2Ai+%2B+8%2Ai+%2B+16%2A%28-1%29+%29+\"$
\n" ); document.write( " $\"+15+-+10%2Ai+=+-1+-+2%2Ai+-+8%2Ai+-+%28-16%29+\"$
\n" ); document.write( " $\"+15+-+10%2Ai+=+15+-+10%2Ai+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );