Вправи: 218

218. Виконайте ділення:

1) (x – 3) : x-39 = x-31 • 9x-3 = x-3•9x-3 = 9;

2) (3x – 1) : 3x-13 = 3x-11 • 33x-1 = 3x-1•33x-1 = 3;

3) (2x – 2) : x-18 = 2x-21 • 8x-1 = 2x-2•8x-1 = 2x-1•8x-1 = 16;

4) (3a + 1) : 3+9a2 = 3a+11 • 23+9a = 3a+1•23+9a = 3a+1•23(1+3a) = 3a+1•23 •(3a+1) = 23;

5) (ax + 2a) : x+22a = ax+2a1 • 2ax+2 = ax+2a•2ax+ 2 = ax+ 2 •2ax+2 = 2a²

6) (3b – ab) : 2a-62b = 3b-ab1 • 2b2a- 6 = 3b-ab•2b2a-6 = b3-a•2b2(a-3) = –a-3• 2b22(a-3) = –b².