document.write( "Question 81393: I submitted these questions a few days ago and got no response. This is due no later than tonite please help....\r
\n" ); document.write( "\n" ); document.write( "1. Simplify the rational expression:
\n" ); document.write( "x2 – 6x + 5
\n" ); document.write( " x2 – 25\r
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\n" ); document.write( "\n" ); document.write( "2. Divide:
\n" ); document.write( "x2 – 9x + 8 ÷ x2 – 1
\n" ); document.write( " 2x – 4 2x + 2\r
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\n" ); document.write( "\n" ); document.write( "3. Simplify:
\n" ); document.write( "√[64x10y2z46]\r
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\n" ); document.write( "\n" ); document.write( "4. Perform the indicated operations:
\n" ); document.write( "4√[18] + 2√[32] –√[8]\r
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Algebra.Com's Answer #58303 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1. Simplify the rational expression:
\n" ); document.write( "x^2 – 6x + 5
\n" ); document.write( "Can be factored to:
\n" ); document.write( "(x-5)(x-1)
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\n" ); document.write( "x^2 – 25
\n" ); document.write( "This is the difference of squares, can be factored to:
\n" ); document.write( "(x-5)(x+5)
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\n" ); document.write( "2. Divide:
\n" ); document.write( "\"%28x%5E2-9x%2B8%29%2F%28x%5E2-1%29\"
\n" ); document.write( ":
\n" ); document.write( "\"%28%28x-8%29%28x-1%29%29%2F%28%28x-1%29%28x%2B1%29%29\" = \"%28%28x-8%29%29%2F%28%28x%2B1%29%29\"; canceled the (x-1)'s
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\n" ); document.write( "\"%282x-4%29%2F%282x%2B2%29\"
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\n" ); document.write( "Factor out 2 and you have:
\n" ); document.write( "\"%282%28x-2%29%29%2F%282%28x%2B1%29%29\" = \"%28x-2%29%2F%28x%2B1%29\"; canceled 2
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\n" ); document.write( "3. Simplify:
\n" ); document.write( "√[64x10y2z46]; I can't decipher what you mean here\r
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\n" ); document.write( "\n" ); document.write( "4. Perform the indicated operations:
\n" ); document.write( "\"4sqrt%2818%29+%2B+2sqrt%2832%29+-+sqrt%288%29\"
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\n" ); document.write( "Factor to show the squares inside the radicals, then extract the sqrts
\n" ); document.write( "\"4sqrt%289%2A2%29+%2B+2sqrt%2816%2A2%29+-+sqrt%284%2A2%29\" = \"4%2A3%2Asqrt%282%29+%2B+2%2A4%2Asqrt%282%29+-+2%2Asqrt%282%29\" = \"12%2Asqrt%282%29+%2B+8%2Asqrt%282%29+-+2%2Asqrt%282%29\"
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\n" ); document.write( "Notice we have like terms (all sqrt(2)) so we can just add them up:
\n" ); document.write( "\"18%2Asqrt%282%29\"; the final result \r
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