document.write( "Question 167290: What is the answer to the following equation: 3/x^2-1/x+5 \n" ); document.write( "
Algebra.Com's Answer #123315 by midwood_trail(310)![]() ![]() ![]() You can put this solution on YOUR website! 3/x^2-1/x+5\r \n" ); document.write( "\n" ); document.write( "I understand your question as the following subtraction problem:\r \n" ); document.write( "\n" ); document.write( "(3/x^2) MINUS (1/x + 5)\r \n" ); document.write( "\n" ); document.write( "The denominators are different.\r \n" ); document.write( "\n" ); document.write( "We need the LCD, right?\r \n" ); document.write( "\n" ); document.write( "Our LCD is (x^2)TIMES (x + 5) written simply as (x^2)(x+5).\r \n" ); document.write( "\n" ); document.write( "We now apply the rules of subtraction of fractions with unlike denominators.\r \n" ); document.write( "\n" ); document.write( "In the numerator, we get this over the LCD:\r \n" ); document.write( "\n" ); document.write( "[3(x+5) - (x^2)]/(x^2)(x+5)\r \n" ); document.write( "\n" ); document.write( "We can simplify the numerator a bit more by using the distributive rule to remove the parentheses 3(x+5).\r \n" ); document.write( "\n" ); document.write( "This will leave us with:\r \n" ); document.write( "\n" ); document.write( "(3x + 15 - x^2)/(x^2)(x+5)\r \n" ); document.write( "\n" ); document.write( "Did you follow?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |