ГДЗ з алгебри 8 клас Істер, вправа №4.22

1) $\frac{a-2+2a}{2(a+1)} = \frac{3a-2}{2(a+1)}$

2) $\frac{5m-12m}{20(a+b)} = \frac{-7m}{20(a+b)}$

3) $\frac{3(a-2)-2(a+1)}{6(a+3)} = \frac{3a-6-2a-2}{6(a+3)} = \frac{a-8}{6(a+3)}$

4) $\frac{4b+5a}{ab(x-y)}$

5) $\frac{5(x+6)-30}{x(x+6)} = \frac{5x+30-30}{x(x+6)} = \frac{5x}{x(x+6)} = \frac{5}{x+6}$

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

1) $\frac{a-2}{2(a+1)}+\frac{a}{a+1} = \frac{a-2+2a}{2(a+1)} = \frac{3a-2}{2(a+1)}$

2) $\frac{m}{4(a+b)}-\frac{3m}{5(a+b)} = \frac{5m-12m}{20(a+b)} = \frac{-7m}{20(a+b)}$

3) $\frac{a-2}{2(a+3)}-\frac{a+1}{3(a+3)} = \frac{3(a-2)-2(a+1)}{6(a+3)} = \frac{3a-6-2a-2}{6(a+3)} = \frac{a-8}{6(a+3)}$

4) $\frac{4}{a(x-y)}+\frac{5}{b(x-y)} = \frac{4b+5a}{ab(x-y)}$

5) $\frac{5}{x}-\frac{30}{x(x+6)} = \frac{5(x+6)-30}{x(x+6)} = \frac{5x+30-30}{x(x+6)} = \frac{5x}{x(x+6)} = \frac{5}{x+6}$

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