document.write( "Question 582488: Can you please exlpain step by step how to solve 2/x-3 - 4/x+3 = 8/x^2-9 \n" ); document.write( "

Algebra.Com's Answer #372102 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"2%2F%28x-3%29+-+4%2F%28x%2B3%29\"$ = $\"8%2F%28x%5E2-9%29\"$
\n" ); document.write( "The third denominator is the difference of squares and can be factored to;
\n" ); document.write( " $\"2%2F%28x-3%29+-+4%2F%28x%2B3%29\"$ = $\"8%2F%28%28x-3%29%28x%2B3%29%29\"$
\n" ); document.write( "Multiply each term by (x-3)(x+3)
\n" ); document.write( "(x-3)(x+3)* $\"2%2F%28x-3%29\"$ - (x-3)(x+3)* $\"4%2F%28x%2B3%29\"$ = (x-3)(x+3)* $\"8%2F%28%28x-3%29%28x%2B3%29%29\"$
\n" ); document.write( "Cancel the denominators and you have:
\n" ); document.write( "2(x+3) - 4(x-3) = 8
\n" ); document.write( "2x + 6 - 4x + 12 = 8
\n" ); document.write( "2x - 4x + 18 = 8
\n" ); document.write( "-2x = 8 - 18
\n" ); document.write( "-2x = -10
\n" ); document.write( "x = +5
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the original problem for x = 5
\n" ); document.write( " $\"2%2F%285-3%29+-+4%2F%285%2B3%29\"$ = $\"8%2F%285%5E2-9%29\"$ \n" ); document.write( "

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