Вправи 201 - 300 » 219

219. Виконайте ділення: 1) 〖9a〗^2/2 : 18 = 〖9a〗^2/2 • 1/18 = 〖9a〗^2/(2 •18) = a^2/4; 2) 14b/3 : 28b2 = 14b/3 : 〖28b〗^2/1 = 14b/3 • 1/〖28b〗^2 = 14b/〖3•28b〗^2 = 1/6b; 3) 〖36x〗^2/5 : (–24x3) = 〖36x〗^2/5 : (–〖24x〗^3/1) = 〖36x〗^2/5 • (–1/〖24x〗^3 ) = –〖36x〗^2/〖5 •24x〗^3 = –3/10x; 4) (a + 2) : (4+2a)/3 = (a+2)/1 • 3/(4+2a) = ((a+2)•3)/(4+2a) = ((a+2)•3)/(2(2+a)) = ((a+2)•3)/(2 •(a+2)) = 3/2 = 1,5; 5) (3b – 12) : (4-b)/3 = (3b-12)/1 • 3/(4-b) = ((3b-12)•3)/(4-b) = (3(b-4)•3)/(4-b) = –(9(b-4))/(b-4) = –9; 6) (a – 4a2) : (4a-1)/a = 〖a-4a〗^2/1 • a/(4a-1) = (〖(a-4a〗^2) •a)/(4a-1) = (a(1-4a)•a)/(4a-1) = –(a^2 (4a-1))/(4a-1) = –a2.