Вправи: 838

838. Виконайте ділення:

1) x2- 10x+25x2- 100 : x-5x-10 = (x-5)2 • (x-10)x-10x-10(x-5) = x-5x+10;

2) a2- 1a-8 : a2+ 20+1a-8 = a-1a+1(a-8)a-8(a+1)2 = a-1a+1;

3) ab+ b28b : ab+ a22a = ba+b • a8b • a(a+b) = 14;

4) 2c-3c-1 : (2c – 3) = 2c-3 • 1c-1 • (2c-3) = 1c-1;

5) n2- 3n49n2- 1 : n4- 27n49n2- 14n+1= nn-3 • (7n-1)27n-17n+1 • nn-3(n2+ 3n+9) = 7n-17n+1(n2+ 3n+9) = 7n-17n3+ 21n2+ 63+ n2+ 3n+9 = 7n-17n3+ 22n2+ 3n+72;

6) 5a2- 20ab3a2+ b2: 30(a-4b)29a4- b4 = 5aa-4b • 3a2- b2(3a2+ b2)3a2+ b2 • 30(a-4b)2 = a(3a2- b2)6(a-4b)2 = 3a3- ab26a-24b.