Вправи: 283

283. Виконай ділення.

а) 2a3+ 16a2+ 3a+9 : a2- 2a+42a3- 54 = 2(a3+ 8) •2(a3- 27)(a2+ 3a+9)(a2- 2a+4) = 4(a + 2)(a – 3);

б) 64a3- b316a2- 8ab+ b2 : 16a2+ 4ab+ b2b2- 16 = 4a-b16a2+ 4ab+ b2(b2- 16)(4a-b)2(16a2+ 4ab+ b2) = b2- 164a-b;

в) 3y-9x2- xy+x-y : xy-3x+2y-6x2- y2 = 3(y-3)xx-y+ (x-y) • x-y(x+y)xy-3+ 2(y-3) =

= 3y-3x-y(x+y)x-yx+1y-3(x+2) = 3(x+y)x-1(x+2).