document.write( "Question 189078: Hi there,I'm new so im sorry if i do not do something correctly. I am too embarrassed to ask questions in class and... Can you please explain to me how to work out the following problem?
\n" ); document.write( "\"3%2By\"
\n" ); document.write( " ______
\n" ); document.write( "\"y%5E2%2B9\"
\n" ); document.write( "Minus
\n" ); document.write( "\"y-3\"
\n" ); document.write( " ______
\n" ); document.write( "\"9-y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "I tried this and here is my answer:
\n" ); document.write( " \"+++1\"
\n" ); document.write( " _____
\n" ); document.write( "\"+%28y-3%29%28y%2B3%29\"
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Algebra.Com's Answer #141826 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
You should never feel embarrassed to ask questions. You're asking them now aren't you?\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2By%29%2F%28y%5E2%2B9%29-%28y-3%29%2F%289-y%5E2%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2By%29%2F%28y%5E2%2B9%29-%28y-3%29%2F%28%283-y%29%283%2By%29%29\" Factor \"9-y%5E2\" to get \"%283-y%29%283%2By%29\" (use the difference of squares)\r
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\n" ); document.write( "\n" ); document.write( "\"%28y%2B3%29%2F%28y%5E2%2B9%29-%28y-3%29%2F%28-%28y-3%29%28y%2B3%29%29\" Factor a negative 1 from \"3-y\" to get \"-%28y-3%29\". Also, rearrange the terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28y%2B3%29%2F%28y%5E2%2B9%29-cross%28%28y-3%29%29%2F%28-cross%28%28y-3%29%29%28y%2B3%29%29\" Cancel out the common terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28y%2B3%29%2F%28y%5E2%2B9%29-1%2F%28-%28y%2B3%29%29\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"%28y%2B3%29%2F%28y%5E2%2B9%29%2B1%2F%28y%2B3%29\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28y%2B3%29%28y%2B3%29%29%2F%28%28y%5E2%2B9%29%28y%2B3%29%29%2B1%2F%28y%2B3%29\" Multiply both the numerator and denominator of the first fraction by \"y%2B3\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28y%5E2%2B6y%2B9%29%2F%28%28y%5E2%2B9%29%28y%2B3%29%29%2B1%2F%28y%2B3%29\" FOIL\r
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\n" ); document.write( "\n" ); document.write( " Multiply both the numerator and denominator of the second fraction by \"y%5E2%2B9\"\r
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\n" ); document.write( "\n" ); document.write( " Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"%28y%5E2%2B6y%2B9%2By%5E2%2B9%29%2F%28%28y%5E2%2B9%29%28y%2B3%29%29\" Add the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"%282y%5E2%2B6y%2B18%29%2F%28%28y%5E2%2B9%29%28y%2B3%29%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So where \"y%3C%3E-3\"\r
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