document.write( "Question 174077: some students simplify 2x^2-32/x-4 as 2x-8/x-4 =2x-8. choose values of x to mshow this is not true. Then simplify it correctly. \n" ); document.write( "
Algebra.Com's Answer #129081 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The wrong way: \n" ); document.write( "2x^2-32/x-4 as 2x-8/x-4 =2x-8 \n" ); document.write( "Example: \n" ); document.write( "Let x = 2 \n" ); document.write( "You would get 2*4-32 /2-4 = 2*2-8 \n" ); document.write( "8-32/-2 = 4-8 \n" ); document.write( "-24/-2 = -4 \n" ); document.write( "12 = -4 \n" ); document.write( "Which is wrong. \n" ); document.write( "============================== \n" ); document.write( "The Right way:\r \n" ); document.write( "\n" ); document.write( "(2x^2-32)/(x-4) \n" ); document.write( "------ \n" ); document.write( "= [2(x^2-16)]/(x-4)\r \n" ); document.write( "\n" ); document.write( "= [2(x-4)(x+4)]/(x-4)\r \n" ); document.write( "\n" ); document.write( "= 2(x+4) \n" ); document.write( "============== \n" ); document.write( "Example: Let x = 2 \n" ); document.write( "You get \n" ); document.write( "(2*4-32)/(2-4) = 2(2+4) \n" ); document.write( "(8-32)/-2 = 2(6) \n" ); document.write( "-24/-2 = 12 \n" ); document.write( "12 = 12 \n" ); document.write( "Which is correct. \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |