document.write( "Question 947733: how to solve the rational expression
\n" ); document.write( "2b-2/2b^2-8 in set
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Algebra.Com's Answer #578345 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"%282b-2%29%2F%282b%5E2-8%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%28b-1%29%2F2%28b%5E2-4%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"cross%282%29%28b-1%29%2Fcross%282%29%28b%5E2-2%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28b-1%29%2F%28%28b-2%29%28b%2B2%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "to have a solution, we need to exclude all values of $\"b\"$ that make denominator equal to zero, and they are\r
\n" ); document.write( "\n" ); document.write( " $\"%28b-2%29%28b%2B2%29=0\"$
\n" ); document.write( "if $\"%28b-2%29=0\"$ => $\"b=2\"$
\n" ); document.write( "if $\"%28b%2B2%29=0\"$ => $\"b=-2\"$ \r
\n" ); document.write( "\n" ); document.write( "the solution set is { $\"x\"$ | $\"x\"$ is a real number and $\"x%3C%3E2\"$ and $\"x%3C%3E+-2\"$ }\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "( $\"-infinity\"$ , $\"-2\"$ ) U ( $\"-2\"$ , $\"2\"$ ) U ( $\"2\"$ , $\"infinity\"$ )\r
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