document.write( "Question 33400: \r\n" );
document.write( " s2 1\r\n" );
document.write( "———————— — ——————\r\n" );
document.write( "13s2-13s 13s-13
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document.write( "
Algebra.Com's Answer #19751 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " s2 1\r\n" ); document.write( "———————— — ——————\r\n" ); document.write( "13s2-13s 13s-13\r\n" ); document.write( "\r\n" ); document.write( "Factor the two denominators:\r\n" ); document.write( "\r\n" ); document.write( " s2 1\r\n" ); document.write( "———————— — ———————\r\n" ); document.write( "13s(s-1) 13(s-1)\r\n" ); document.write( "\r\n" ); document.write( "The LCD = 13s(s-1)\r\n" ); document.write( "\r\n" ); document.write( "The first fraction already has the LCD.\r\n" ); document.write( "To cause the second fraction to have the LCD, we\r\n" ); document.write( "notice that it is missing a factor of \" s \". So\r\n" ); document.write( "we multiply it by s/s:\r\n" ); document.write( "\r\n" ); document.write( " s2 1 s\r\n" ); document.write( "———————— — ——————— × ———\r\n" ); document.write( "13s(s-1) 13(s-1) s\r\n" ); document.write( "\r\n" ); document.write( "So now we have:\r\n" ); document.write( "\r\n" ); document.write( " s2 s\r\n" ); document.write( "———————— — ————————\r\n" ); document.write( "13s(s-1) 13s(s-1)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Since the denominators are now equal, we can combine\r\n" ); document.write( "the numerators over the common denominator:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " s2-s\r\n" ); document.write( "————————\r\n" ); document.write( "13s(s-1) \r\n" ); document.write( "\r\n" ); document.write( "Now we factor the numerator:\r\n" ); document.write( "\r\n" ); document.write( " s(s-1)\r\n" ); document.write( "————————\r\n" ); document.write( "13s(s-1) \r\n" ); document.write( "\r\n" ); document.write( "Cancel the s's:\r\n" ); document.write( " 1\r\n" ); document.write( "\n" ); document.write( " |