document.write( "Question 306759: I am trying to figure out how to start this problem. I saw it and I immediately was confused. Please help me solve this equation: \r
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Algebra.Com's Answer #219468 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! [((x+1)/(x-1)+1)/((x+1)/(x-1)-1)]^5 \r \n" ); document.write( "\n" ); document.write( "Let's look at the expression that is being raised to the 5th power. A common denominator for the terms is x-1. Rewriting 1 as (x-1)/(x-1):\r \n" ); document.write( "\n" ); document.write( "((x+1)/(x-1)) + (x-1)/(x-1) / ((x+1)/(x-1) - (x-1)/(x-1))\r \n" ); document.write( "\n" ); document.write( "Combining terms we have:\r \n" ); document.write( "\n" ); document.write( "(((x+1) + (x+1))/(x-1)) / (((x+1) - (x-1))/(x-1)) = \n" ); document.write( "((2x+2)/(x-1)) / (2/(x-1))\r \n" ); document.write( "\n" ); document.write( "Multiplying numerator and denominator above by (x-1) gives:\r \n" ); document.write( "\n" ); document.write( "(2x+2)/2 = 2*(x+1)/2 = x+1\r \n" ); document.write( "\n" ); document.write( "So the original problem reduces to (x+1)^5\r \n" ); document.write( "\n" ); document.write( "You could expand out (x+1)^5.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |