Сократите дробь: 1) m^4/m^3=2) ab^3/a^2b=3) 15a/5=4) 3a-3/a^2-1=5) - 2xy^4/2xy^3=6) x^2-4x+4/3x-6=7) 9-6a+a^2/a^2-9=8) a^2+2a+1/a^2-1=9) a^2+2a+1/a^2-1=

Сократим дробь, учитывая свойства степеней a^n : a^m = a^ (n - m), a^n * a^m = a^ (n + m):

1) m^4/m^3 = m^ (4 - 3) = m;

2) ab^3/a^2b = (a * b * b^2) / (a * a * b) = b^2/a;

3) 15a/5 = 3a;

4) (3a - 3) / (a^2 - 1) = (3 * (a - 1)) / ((a - 1) * (a + 1)) = 3 / (a + 1);

5) - 2xy^4/2xy^3 = - y;

6) (x^2 - 4x + 4) / (3x - 6) = ((x - 2) ^2) / (3 * (x - 2)) = (x - 2) / 3;

7) (9 - 6a + a^2) / (a^2 - 9) = ((3 - a) ^2) / ( - (9 - a^2)) = ((3 - a) ^2) / ( - (3 - a) * (3 + a)) = - (3 - a) / (3 + a);

8) (a^2 + 2a + 1) / (a^2 - 1) = ((a + 1) ^2) / ((a - 1) * (a + 1)) = (a + 1) / (a - 1);

9) так же как 8.