Вправи 201 - 300 » 228

227. Спростіть вираз: 1) (〖12x〗^2 y)/a^4 • a/〖xy〗^2 : 〖6x〗^2/(a^2 y) = (〖12x〗^2 y)/a^4 • a/〖xy〗^2 • (a^2 y)/〖6x〗^2 = (〖12x〗^2 y •a • a^2 y)/(a^4 •xy^2 • 〖6x〗^2 ) = (〖2a〗^3 x^2 y^2)/(a^4 x^3 y^2 ) = 2/ax; 2) x3y2 : 15/x^4 • 5/y^3 = (x^3 y^2)/1 • x^4/15 • 5/y^3 = (x^3 y^2 • x^4 •5)/(15 • y^3 ) = (〖5x〗^7 y^2)/〖15y〗^3 = x^7/3y; 3) ab^3/x : 〖25b〗^2/a : a^3/35x = ab^3/x • a/〖25b〗^2 • 35x/a^3 = (ab^3 •a •35x)/(x • 〖25b〗^2 • a^3 ) = (〖35a〗^2 b^3 x)/(〖25a〗^3 b^2 x) = 7b/5a; 4) 3/2(m/n)2 • (–10m/3n) : (–15mn) = 3/2 • m^2/n^2 • 10m/3n : 15mn/1 = 3/2 • m^2/n^2 • 10m/3n • 1/15mn = (〖3m〗^2 •10m)/(〖2n〗^2 •3n •15mn) = 〖30m〗^3/〖90mn〗^4 = m^2/〖3n〗^4