document.write( "Question 1207460: Use z = a + bi and w = c + di to show that (z • w) bar = z bar • w bar.\r
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Algebra.Com's Answer #845336 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "Step 1.  Multiply (a+bi) by (c+di);  then take the bar over this product.\r\n" );
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document.write( "         it will be (z* w) bar.\r\n" );
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document.write( "Step 2.  Take bars first, transforming  a+bi  to  a-bi\r\n" );
document.write( "                          and           c+di  to  c-di.\r\n" );
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document.write( "         Now multiply  (a-bi)  by  (c-di).\r\n" );
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document.write( "         It will be z bar * w bar.\r\n" );
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document.write( "Step 3.  Now compare your results in steps 1 and 2.\r\n" );
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document.write( "         If you calculated everything correct, you must get identical results,\r\n" );
document.write( "         which will prove your statement.\r\n" );
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document.write( "         It you will get different results,  then check and re-check, double check and cross-check,\r\n" );
document.write( "         until you find and correct all possible mistakes.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On complex numbers, see introductory lessons\r
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