document.write( "Question 40848: How do I add these rational expressions? 2 / y - 1 + 2 / y + 1 ? \n" ); document.write( "
Algebra.Com's Answer #26248 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! 2 / (y - 1) + 2 / (y + 1) \n" ); document.write( "For this, you first determine the lowest common denominator and then multiply each fraction in such a way that the denominators becomes that LCD...in this case, the LCD is (y - 1)(y + 1)... \n" ); document.write( "We multiply the first by (y + 1) / (y + 1) \n" ); document.write( "and the second by (y - 1) / (y - 1) and get \n" ); document.write( "2(y + 1) / (y - 1)(y + 1) + 2(y - 1) / (y - 1)(y + 1) = \n" ); document.write( "[2(y + 1) + 2(y - 1)] / (y - 1)(y + 1) = \n" ); document.write( "4y / (y - 1)(y + 1) \n" ); document.write( "The easiest way is to apply the criss-cross method... \n" ); document.write( "A/B + C/D = (AD + BC) / BD \n" ); document.write( " |