РОЗДІЛ 2. Раціональні вирази - Вправи 50 - 200 » 154

154. Спростіть вираз: 1) 1^(\〖2x〗^2 )/5x + (〖3x〗^2- 1)/〖10x〗^3 = (〖2x〗^2+ 〖3x〗^2- 1)/〖10x〗^3 = (〖5x〗^2- 1)/〖10x〗^3 ; 2) 1^(\3x)/(〖4x〗^2 y^2 ) – 2^(\2y)/(〖6x〗^3 y) = (3x-4y)/(〖12x〗^3 y^2 ); 3) 5^(\x)/(5+x) + (3x-7)/(5+x)x = (5x+3x-7)/(5+x)x = (8x-7)/(5+x)x; 4) (10x-1)/(x(5-x)) – 2^(\x)/((5-x)) = (10x-1-2x)/(x(5-x)) = (8x-1)/(x(5-x)); 5) 4y/(3y+3) + (1-y)/(y+1) = 4y/(3(y+1)) + 〖1-y〗^(\3)/(y+1) = (4y+3-3y)/(3(y+1)) = (y+3)/(3(y+1)); 6) 〖4c〗^(\c^2 )/(c-1) + 〖2-5c〗^3/(c^2 (c-1)) = (〖4c〗^3+ 2- 〖5c〗^3)/(c^2 (c-1)) = 〖2-c〗^3/(c^2 (c-1)).