1. A) a^2b/12c * 4c/ab^2 Б)x^2-y^2/x+3y : xy+y2/2x+6y В)a^2-6a+9/a^2 - 3a+9 : 3a-9/a^3+27 2. Найдите значение x , при

А) (a^2b/12c) * (4c/ab^2) = 4ca^2b/(12cab^2) = a/3b;

Б) (x^2 - y^2/x + 3y) : (xy + y^2/2x + 6y) = ((x - y)(x + y) * 2(x + 3y))/((x + 3y)y(x + y)) = (2(x - y))/y;

В) ((a^2 - 6a + 9)/(a^2 - 3a + 9)) : (3a - 9)/(a^3+27) = (a^2 - 6a + 9)/(a^2 - 3a + 9) * (a^3 + 27)/(3a - 9) = (a^2 - 6a + 9)/(a^2 - 3a + 9) * (a^3 + 3^3)/(3(a - 3)) = (a - 3)(a - 3)/(a^2 - 3a + 9) * (a + 3)(a^2 - 3a + 9)/(3(a - 3)) = (a - 3)(a + 3)/3 = (a^2 - 3^2)/3;

2. 3/(x - 2) + 4/(x - 3) = 7/x;

3(x - 3)x + 4(x - 2)x = 7(x - 3)(x - 2);

3x^2 - 9x + 4x^2 - 8x = 7x^2 - 21x - 14x + 42;

-17x = -35x + 42;

18x = 42;

x = 42/18;

x = 7/3.