Алгебраические дроби 26 Вариант 1

1a) [latex] \frac{3x^2}{15x^3} = \frac{1}{5}x [/latex] б) [latex] \frac{2x-8}{3x-12} = \frac{2(x-4)}{3(x-4)} = \frac{2}{3} [/latex] в) [latex] \frac{x^2-9}{(x+3)^2} = \frac{(x-3)(x+3)}{(x+3)(x+3)} = \frac{x-3}{x+3} [/latex] 2а) [latex] \frac{3x+2}{x-1} = - \frac{3x+2}{1-x} [/latex] б) [latex]- \frac{6x-1}{x+1} = \frac{1-6x}{x+1} [/latex] 3а) [latex] \frac{x}{x-5} ; \frac{3}{5-x} [/latex] [latex] \frac{x}{x-5} = \frac{-3}{x-5} [/latex] б) [latex] \frac{x}{(x-4)^2} ; \frac{7}{x^2-16} [/latex] [latex] \frac{x}{(x-4)(x-4)} ; \frac{7}{(x-4)(x+4)} [/latex] [latex] \frac{x(x+4)}{(x+4)(x-4)(x-4)} = \frac{7(x-4)}{(x-4)(x+4)(x-4)} [/latex] [latex] \frac{x^2+4x)}{(x-4)(x-4)} = \frac{7x-28)}{(x-4)(x+4)(x-4)} [/latex] в) [latex] \frac{5}{x-1} ; \frac{7}{x-2} [/latex] [latex] \frac{5(x-2)}{(x-2)(x-1)} ; \frac{7(x-1)}{(x-2)(x-1)} [/latex] [latex] \frac{5x-10}{(x-1)(x-2)} = \frac{7x-7}{(x-1)(x-2)} [/latex] 4a) [latex]2x+3 = \frac{2x+3}{1} [/latex] б) [latex]2x+3 = \frac{5(2x+3)}{5} [/latex] в) [latex]2x+3 = \frac{(2x+3)(x-1)}{x-1} [/latex] Удачи!