document.write( "Question 26073: simplify
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Algebra.Com's Answer #14022 by AnlytcPhil(1806) $\"\"$ $\"About$
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(2-4i)/(1+3i)\r\n" );
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document.write( "          3 - 4i\r\n" );
document.write( "          覧覧覧\r\n" );
document.write( "          1 + 3i\r\n" );
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document.write( "The denominator is 1 + 3i.\r\n" );
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document.write( "I. Form its conjugate by: \r\n" );
document.write( "   a. Keeping the first term as it is:\r\n" );
document.write( "      1\r\n" );
document.write( "   b. Changing the sign of the second term\r\n" );
document.write( "      change +3i to -3i\r\n" );
document.write( "   c. Putting these together\r\n" );
document.write( "      1 - 3i\r\n" );
document.write( "   d. Forming a fraction which equals one by placing this \r\n" );
document.write( "      conjugate over itself.\r\n" );
document.write( "      1 - 3i\r\n" );
document.write( "      覧覧覧\r\n" );
document.write( "      1 - 3i\r\n" );
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document.write( "2. Multiply original fraction by this fraction:\r\n" );
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document.write( "      3 - 4i   1 - 3i\r\n" );
document.write( "      覧覧覧 ﾗ 覧覧覧\r\n" );
document.write( "      1 + 3i   1 - 3i\r\n" );
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document.write( "3. Put parentheses around all numerators and denominators\r\n" );
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document.write( "      (3 - 4i)   (1 - 3i)\r\n" );
document.write( "      覧覧覧覧 ﾗ 覧覧覧覧\r\n" );
document.write( "      (1 + 3i)   (1 - 3i)\r\n" );
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document.write( "4. Write as one fraction:\r\n" );
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document.write( "      (3 - 4i)(1 - 3i)\r\n" );
document.write( "      覧覧覧覧覧覧覧覧\r\n" );
document.write( "      (1 + 3i)(1 - 3i)\r\n" );
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document.write( "5. Use FOIL to multiply out numerator and denominator\r\n" );
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document.write( "       3 - 9i - 4i + 12iｲ\r\n" );
document.write( "      覧覧覧覧覧覧覧覧覧覧\r\n" );
document.write( "       1 - 3i + 3i - 9iｲ\r\n" );
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document.write( "6. Combine terms in numerator and denominator\r\n" );
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document.write( "       3 - 13i + 12iｲ\r\n" );
document.write( "      覧覧覧覧覧覧覧予r\n" );
document.write( "          1 - 9iｲ\r\n" );
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document.write( "7. Replace iｲ by its equivalent -1\r\n" );
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document.write( "       3 - 13i + 12(-1)\r\n" );
document.write( "      覧覧覧覧覧覧覧覧覧\r\n" );
document.write( "          1 - 9(-1)\r\n" );
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document.write( "8. Simplify\r\n" );
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document.write( "       3 - 13i - 12\r\n" );
document.write( "      覧覧覧覧覧覧覧覧覧\r\n" );
document.write( "          1 + 9\r\n" );
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document.write( "       -9 - 13i\r\n" );
document.write( "      覧覧覧覧覧\r\n" );
document.write( "          10\r\n" );
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document.write( "9.  Write as two fractions\r\n" );
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document.write( "       -9     13i\r\n" );
document.write( "      覧覧 - 覧覧予r\n" );
document.write( "       10     10\r\n" );
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document.write( "10. Write i as multiplied by the fraction 13/10\r\n" );
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document.write( "       -9     13\r\n" );
document.write( "      覧覧 - 覧覧 i\r\n" );
document.write( "       10     10 \r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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