Вправа 201 - 300 » 202

202. Виконай дії: а) (3-b)/(b-2) – (b+4)/(〖2b〗^3- 8b) + (b+3)/(b+2) – b/(b^2- 4) = (3-b)/(b+2) – (b+4)/(2b(b^2- 4)) + (b+3)/(b+2) – b/((b-2)(b+2)) = ((3-b)•2b(b+2)- (b+4)+ (b+3)•2b •(b-2)- b •2b)/(2b(b-2)(b+2) = (2b(3b+6- b^2- 2b)- b-4+(2b^2+ 6b)(b-2)- 2b^2)/(2b(b-2)(b+2)) = (〖6b〗^2+ 12b- 〖2b〗^3- 〖4b〗^2- b-4+ 〖2b〗^3- 〖4b〗^2+ 6b^2- 12b-2b^2)/(2b(b-2)(b+2)) = (〖2b〗^2- b-4)/(2b(b-2)(b+2)); б) (3a+2)/(〖9a〗^2- 6a+4) – 18a/(〖27a〗^3+ 8) – 1/(3a+2) = (3a+2)/(〖9a〗^2- 6a+4) – 18a/((3a+2)(〖9a〗^2- 6a+4)) – 1/(3a+2) = (〖(3a+2)〗^2- 18a-(〖9a〗^2- 6a+4))/((3a+2)(〖9a〗^2- 6a+4)) = (〖9a〗^2+ 12a+4-18a- 〖9a〗^2+ 6a-4)/((3a+2)(〖9a〗^2- 6a+4)) = 0.