ГДЗ з алгебри 8 клас Істер, вправа №2.10

1) $\frac{4(a+3b)}{16ab} = \frac{a+3b}{4ab}$

2) $\frac{5(x-y)}{7(x-y)} = \frac{5}{7}$

3) $\frac{3m(x+2)}{x(x+2)} = \frac{3m}{x}$

4) $\frac{a(x-1)}{a} = x-1$

5) $\frac{y}{y(y-x)} = \frac{1}{y-x}$

6) $\frac{2(x-3y)}{5(x-3y)} = \frac{2}{5}$

7) $\frac{a+2b}{a(a+2b)} = \frac{1}{a}$

8) $\frac{2x(x-5y)}{x-5y} = 2x$

1) $\frac{4a+12b}{16ab} = \frac{4(a+3b)}{16ab} = \frac{\cancel{4}(a+3b)}{\cancel{16}_4 ab} = \frac{a+3b}{4ab}$

2) $\frac{5x-5y}{7(x-y)} = \frac{5(x-y)}{7(x-y)} = \frac{5\cancel{(x-y)}}{7\cancel{(x-y)}} = \frac{5}{7}$

3) $\frac{3m(x+2)}{x^2+2x} = \frac{3m(x+2)}{x(x+2)} = \frac{3m\cancel{(x+2)}}{x\cancel{(x+2)}} = \frac{3m}{x}$

4) $\frac{ax-a}{a} = \frac{a(x-1)}{a} = \frac{\cancel{a}(x-1)}{\cancel{a}} = x-1$

5) $\frac{y}{y^2-yx} = \frac{y}{y(y-x)} = \frac{\cancel{y}}{\cancel{y}(y-x)} = \frac{1}{y-x}$

6) $\frac{2x-6y}{5x-15y} = \frac{2(x-3y)}{5(x-3y)} = \frac{2\cancel{(x-3y)}}{5\cancel{(x-3y)}} = \frac{2}{5}$

7) $\frac{a+2b}{a^2+2ab} = \frac{a+2b}{a(a+2b)} = \frac{\cancel{(a+2b)}}{a\cancel{(a+2b)}} = \frac{1}{a}$

8) $\frac{2x^2-10xy}{x-5y} = \frac{2x(x-5y)}{x-5y} = \frac{2x\cancel{(x-5y)}}{\cancel{(x-5y)}} = 2x$