РОЗДІЛ 2. Раціональні вирази - Вправи 50 - 200 » 166

166. Подайте у вигляді раціонального дробу: 1) x + 1/x = x^(\x)/1 + 1/x = (x^2+ 1)/x; 2) 3x + 3/x = 〖3x〗^(\x)/1 + 3/x = (〖3x〗^2+ 3)/x; 3) 1/x^2 + 4x = 1/x^2 + 〖4x〗^(\x^2 )/1 = 〖1+4x〗^3/x^2 ; 4) 7/y – y2 = 7/y – y^(2^(\y) )/1 = 〖7-y〗^3/y; 5) (4-2a)/a – 2a = (4-2a)/a – 2a/1 = 〖4-2a-2a〗^2/a; 6) b/(7-b) – 9b = b/(7-b) – 〖9b〗^(\7-b)/1 = (b-63b+9b^2)/(7-b) = (〖9b〗^2- 62b)/(7-b); 7) 5a – 〖10a〗^2/(2a-1) = 5a/1 – 〖10a〗^2/(2a-1) = (〖10a〗^2- 5a- 〖10a〗^2)/(2a-1) = (-5a)/(2a-1); 8) 2c/(c-5) – 2c – 1 = 2c/(c-5) – 〖2c+1〗^(\c-5)/1 = (〖2c-2c〗^2- 10c+c-5)/(c-5) = (〖-2c〗^2- 7c-5)/(c-5); 9) 1 + 〖-x+x〗^2/(2x-1) – x = 〖-x+x〗^2/(2x-1) + 〖1-x〗^(\2x-1)/1 = (〖-x+x〗^2+ 2x-1- 〖-2x〗^2+ x)/(2x-1) = (〖-x〗^2+ 2x-1)/(2x-1) = (〖-(x〗^2- 2x+1))/(2x-1) = 〖-(x-1)〗^2/(2x-1) = 〖(x-1)〗^2/(1-2x).