document.write( "Question 38537This question is from textbook
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    Simplify the expression: \r\n" );
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document.write( "   x² - 9       4x² - 12x + 36 \r\n" );
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document.write( "2x² - 8x + 6        x³ + 27
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Algebra.Com's Answer #24043 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!

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\r\n" );
document.write( "   x² - 9       4x² - 12x + 36 \r\n" );
document.write( "———————————— × ————————————————\r\n" );
document.write( "2x² - 8x + 6        x³ + 27\r\n" );
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document.write( "Factor each numerator and denominator:\r\n" );
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document.write( "Left numerator:     x² - 9 = x² - 3² = (x - 3)(x + 3)\r\n" );
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document.write( "Left denominator:   2x² - 8x + 6 = 2(x² - 4x + 3) = 2(x - 3)(x - 1)\r\n" );
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document.write( "Right numerator:    4x² - 12x + 36 = 4(x² - 3x + 9)\r\n" );
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document.write( "Right denominator:  x³ + 27 = x³ + 3³ = (x + 3)(x² - 3x + 9)\r\n" );
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document.write( "  (x - 3)(x + 3)        4(x² - 3x + 9)\r\n" );
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document.write( " 2(x - 3)(x - 1)     (x + 3)(x² - 3x + 9)\r\n" );
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document.write( "Indicate multiplication of numerators and denominators:\r\n" );
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document.write( "     4(x - 3)(x + 3)(x² - 3x + 9)\r\n" );
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document.write( " 2(x - 3)(x - 1)(x + 3)(x² - 3x + 9)\r\n" );
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document.write( "Cancel 2 and 4\r\n" );
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document.write( "     2\r\n" );
document.write( "     4(x - 3)(x + 3)(x² - 3x + 9)\r\n" );
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document.write( " 2(x - 3)(x - 1)(x + 3)(x² - 3x + 9)\r\n" );
document.write( " 1\r\n" );
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document.write( "Cancel the (x - 3)'s\r\n" );
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document.write( "     2   1 \r\n" );
document.write( "     4(x - 3)(x + 3)(x² - 3x + 9)\r\n" );
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document.write( " 2(x - 3)(x - 1)(x + 3)(x² - 3x + 9)\r\n" );
document.write( " 1   1\r\n" );
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document.write( "Cancel the (x + 3)'s\r\n" );
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document.write( "     2   1      1\r\n" );
document.write( "     4(x - 3)(x + 3)(x² - 3x + 9)\r\n" );
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document.write( " 2(x - 3)(x - 1)(x + 3)(x² - 3x + 9)\r\n" );
document.write( " 1   1             1\r\n" );
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document.write( "Cancel the (x² - 3x + 9)'s\r\n" );
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document.write( "     2   1      1          1\r\n" );
document.write( "     4(x - 3)(x + 3)(x² - 3x + 9)\r\n" );
document.write( "—————————————————————————————————————                \r\n" );
document.write( " 2(x - 3)(x - 1)(x + 3)(x² - 3x + 9)\r\n" );
document.write( " 1   1             1         1\r\n" );
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document.write( "                 2\r\n" );
document.write( "              ———————\r\n" );
document.write( "               x - 1 \r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com

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