document.write( "Question 265973: 2. Compute and simplify the diffence quotient
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Algebra.Com's Answer #195475 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
2. Compute and simplify the difference quotient
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document.write( "\"difference_quotient+=+%28%22g%28x%2Bh%29%22-%22g%28x%29%22%29%2Fh\"\r\n" );
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document.write( "To the side let's calculate and simplify the most \r\n" );
document.write( "complicated part, the first term on top, which is \r\n" );
document.write( "\"g%28x%2Bh%29\":\r\n" );
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document.write( "\"%22g%28x%29%22=6x%5E2%2B10x-1\"\r\n" );
document.write( "\"%22g%28x%2Bh%29%22=6%28x%2Bh%29%5E2%2B10%28x%2Bh%29-1\"\r\n" );
document.write( "\"%22g%28x%2Bh%29%22=6%28x%5E2%2B2xh%2Bh%5E2%29%2B10x%2B10h-1\"\r\n" );
document.write( "\"%22g%28x%2Bh%29%22=6x%5E2%2B12xh%2B6h%5E2%2B10x%2B10h-1\"\r\n" );
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document.write( "Now we can substitute that into the right side of\r\n" );
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document.write( "\"difference_quotient+=+%28%22g%28x%2Bh%29%22-%22g%28x%29%22%29%2Fh\"\r\n" );
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document.write( "for the \"%22g%28x%2Bh%29%22\"\r\n" );
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document.write( "\"difference_quotient+=+%286x%5E2%2B12xh%2B6h%5E2%2B10x%2B10h-1-%22g%28x%29%22%29%2Fh\"\r\n" );
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document.write( "And for \"%22g%28x%29%22\" we just substitute \r\n" );
document.write( "\"%286x%5E2%2B10x-1%29\" (enclosed in parentheses)\r\n" );
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document.write( "\"difference_quotient+=+%286x%5E2%2B12xh%2B6h%5E2%2B10x%2B10h-1-%286x%5E2%2B10x-1%29%29%2Fh\" \r\n" );
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document.write( "Remove the parentheses on top\r\n" );
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document.write( "\"difference_quotient+=+%286x%5E2%2B12xh%2B6h%5E2%2B10x%2B10h-1-6x%5E2-10x%2B1%29%2Fh\"\r\n" );
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document.write( "Now every term on top will cancel except those which contain factor h:\r\n" );
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document.write( "\"difference_quotient+=+%2812xh%2B6h%5E2%2B10h%29%2Fh\"\r\n" );
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document.write( "Factor h out of the top:\r\n" );
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document.write( "\"difference_quotient+=+%28h%2812x%2B6h%2B10%29%29%2Fh\"\r\n" );
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document.write( "Cancel the h's:\r\n" );
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document.write( "\"difference_quotient+=+%28cross%28h%29%2812x%2B6h%2B10%29%29%2Fcross%28h%29\"\r\n" );
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document.write( "\"difference_quotient+=+12x%2B6h%2B10%29\"\r\n" );
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document.write( "Edwin
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