Здравствуйте решить примеры.

А) числитель = x^2 -2x - 3 = x^2 - 1 - 2x - 2 = (x^2 - 1) - 2*(x+1) = = (x-1)*(x+1) - 2*(x+1) = (x+1)*(x-1 -2) = (x+1)*(x-3). знаменатель = x^2 + 2x + 1 = (x^2 + x) + (x+1) = x*(x+1) + (x+1) = (x+1)*(x+1). дробь = (x+1)*(x-3)/( (x+1)*(x+1) ) = [сокращаем на (x+1)] = (x-3)/(x+1). б) числитель = x^2 - 4x + 4 = x^2 - 2x - 2x + 4 = x*(x-2) - 2*(x - 2) = = (x-2)*(x-2). знаменатель = x^2 + 2x - 8 = x^2 - 2x + 4x - 8 = x*(x-2) + 4*(x-2) = = (x-2)*(x+4). дробь = (x-2)*(x-2)/( (x-2)*(x+4) ) = [сокращаем на (x-2)] = (x-2)/(x+4).

1) -8/15а * 3 3/4b, если а = -1/3, b = 1/6
[-8/15 * (-1/3)] * [3 3/4 * 1/6] = 1/9
1) -8/15 * (-1/3) = 8/45
2) 3 3/4 * 1/6 = 15/4 * 1/6 = 15/24 = 5/8
3) 8/45 * 5/8 = 5/45 = 1/9
ответ: 1/9.

2) -7/20х * (-1 1/14)у * (-2 2/3)z, если х = -3 3/7, у = 14, z = -5/16
[-7/20 * (-3 3/7)] * [(-1 1/14) * 14] * [(-2 2/3) * (-5/16)] = -15
1) -7/20 * (-3 3/7) = 7/20 * 24/7 = 24/20 = 6/5 
2) -1 1/14 * 14 = -15/14 * 14 = -15
3) -2 2/3 * (-5/16) = 8/3 * 5/16 = (1*5)/(3*2) = 5/6
4) 6/5 * (-15) = 6 * (-3) = -18
5) -18 * 5/6 = -3 * 5 = -15 
ответ: -15.