Выполни действия: a) 16/(x-4) - x^2/(x-4)

- a) $\frac{16}{x-4} - \frac{x^2}{x-4} = \frac{16-x^2}{x-4} = \frac{(4-x)(4+x)}{x-4} = -(4+x)$ *Перевод: a) 16/(x-4) - x^2/(x-4) = (16-x^2)/(x-4) = ((4-x)(4+x))/(x-4) = -(4+x)* - б) $\frac{25}{a+5} - \frac{a^2}{a+5} = \frac{25-a^2}{a+5} = \frac{(5-a)(5+a)}{a+5} = 5-a$ *Перевод: б) 25/(a+5) - a^2/(a+5) = (25-a^2)/(a+5) = ((5-a)(5+a))/(a+5) = 5-a* - в) $\frac{3a-1}{a^2-b^2} - \frac{3b-1}{a^2-b^2} = \frac{3a-1 - (3b-1)}{a^2-b^2} = \frac{3a-3b}{a^2-b^2} = \frac{3(a-b)}{(a-b)(a+b)} = \frac{3}{a+b}$ *Перевод: в) (3a-1)/(a^2-b^2) - (3b-1)/(a^2-b^2) = (3a-1 - (3b-1))/(a^2-b^2) = (3a-3b)/(a^2-b^2) = (3(a-b))/((a-b)(a+b)) = 3/(a+b)* - г) $\frac{x-3}{x^2-64} + \frac{11}{x^2-64} = \frac{x-3+11}{x^2-64} = \frac{x+8}{x^2-64} = \frac{x+8}{(x-8)(x+8)} = \frac{1}{x-8}$ *Перевод: г) (x-3)/(x^2-64) + 11/(x^2-64) = (x-3+11)/(x^2-64) = (x+8)/(x^2-64) = (x+8)/((x-8)(x+8)) = 1/(x-8)* - д) $\frac{2a+b}{(a-b)^2} - \frac{2b-5a}{(a-b)^2} = \frac{2a+b - (2b-5a)}{(a-b)^2} = \frac{7a-b}{(a-b)^2}$ *Перевод: д) (2a+b)/((a-b)^2) - (2b-5a)/((a-b)^2) = (2a+b - (2b-5a))/((a-b)^2) = (7a-b)/((a-b)^2)* - e) $\frac{13x+6y}{(x+y)^2} - \frac{11x+4y}{(x+y)^2} = \frac{13x+6y - (11x+4y)}{(x+y)^2} = \frac{2x+2y}{(x+y)^2} = \frac{2(x+y)}{(x+y)^2} = \frac{2}{x+y}$ *Перевод: e) (13x+6y)/((x+y)^2) - (11x+4y)/((x+y)^2) = (13x+6y - (11x+4y))/((x+y)^2) = (2x+2y)/((x+y)^2) = (2(x+y))/((x+y)^2) = 2/(x+y)*