document.write( "Question 279539: the question is find the reciprocals of three consecutive even integers.\r
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document.write( "i think that it is... \r
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document.write( "then i find the LCD..so my end answer was x^6 + 12x + 8\r
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document.write( "am i right? \n" );
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Algebra.Com's Answer #203207 by stanbon(75887) ![]() You can put this solution on YOUR website! the question is find the reciprocals of three consecutive even integers \n" ); document.write( "------------- \n" ); document.write( "1st even: 2x-2 \n" ); document.write( "2nd even: 2x \n" ); document.write( "3rd even: 2x+2 \n" ); document.write( "------------------------- \n" ); document.write( "Reciprocals: \n" ); document.write( "1st: 1/(2x-2) \n" ); document.write( "2nd: 1/2x \n" ); document.write( "3rd: 1/(2x+2) \n" ); document.write( "------------------------- \n" ); document.write( "Add them. \n" ); document.write( "--- \n" ); document.write( "1/(2(x-1)) + 1/2x + 1/2(x+1) \n" ); document.write( "--- \n" ); document.write( "lcd = 2x(x^2-1) \n" ); document.write( "---- \n" ); document.write( "Rewrite each fraction with the lcd as its denominator: \n" ); document.write( "(x+1)/lcd + (x^2-1)/lcd + (x-1)/lcd \n" ); document.write( "--------------------------------------- \n" ); document.write( "Combine the numerators over the lcd: \n" ); document.write( "[x + 1 + x^2-1 + x-1]/lcd \n" ); document.write( "---------------------------- \n" ); document.write( "Simplify the numerator: \n" ); document.write( "[x^2 +2x -1]/[x^2-1] \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |