Выполни действия с алгебраическими дробями из номера 3.5 а)

3.5 a) $\frac{a^2-1}{a^3} - \frac{2a-1}{a^3} = \frac{a^2 - 1 - 2a + 1}{a^3} = \frac{a^2 - 2a}{a^3} = \frac{a(a-2)}{a^3} = \frac{a-2}{a^2}$ 3.5 б) $\frac{x^2 + 2x - 3}{2x^2} + \frac{3-x}{2x^2} = \frac{x^2 + 2x - 3 + 3 - x}{2x^2} = \frac{x^2 + x}{2x^2} = \frac{x(x+1)}{2x^2} = \frac{x+1}{2x}$ 3.6 a) $\frac{a}{a-2} - \frac{1}{a-2} = \frac{a-1}{a-2}$ 3.6 б) $\frac{c}{c+2} + \frac{2}{c+2} = \frac{c+2}{c+2} = 1$ 3.7 a) $\frac{6}{3+p} + \frac{2p}{3+p} = \frac{6 + 2p}{3+p} = \frac{2(3+p)}{3+p} = 2$ 3.7 б) $\frac{a-1}{a-2} - \frac{1}{a-2} = \frac{a-1-1}{a-2} = \frac{a-2}{a-2} = 1$ 3.8 a) $\frac{7}{z-7} - \frac{z}{z-7} = \frac{7-z}{z-7} = -\frac{z-7}{z-7} = -1$ 3.8 б) $\frac{t}{t-2} + \frac{2}{2-t} = \frac{t}{t-2} - \frac{2}{t-2} = \frac{t-2}{t-2} = 1$ 3.9 a) $\frac{y}{y+5} - \frac{5}{-y-5} = \frac{y}{y+5} + \frac{5}{y+5} = \frac{y+5}{y+5} = 1$ 3.9 б) $\frac{2y}{y+3} + \frac{y-3}{-y-3} = \frac{2y}{y+3} - \frac{y-3}{y+3} = \frac{2y - (y-3)}{y+3} = \frac{2y - y + 3}{y+3} = \frac{y+3}{y+3} = 1$ 3.10 a) $\frac{2m}{m-n} + \frac{2n}{n-m} = \frac{2m}{m-n} - \frac{2n}{m-n} = \frac{2m - 2n}{m-n} = \frac{2(m-n)}{m-n} = 2$