Вправи 401 - 467 » 405

405. Винесіть за дужки у–2. 1) y–8 + y–4 = y–2(y–8–(–2) + y–4–(–2)) = y–2(y–6 + y–6); 2) y–10 – y2 = y–2(y–10–(–2) – y2–(–2)) = y–2(y–6 + y–2); 3) y4 + 8y–4 = y–2(y4–(–2) + 8y–4–(–2)) = y–2(y6 + 8y–2); 4) 2y + 4y–1 = y–2(2y1–(–2) + 4y–1–(–2)) = y–2(2y3 + 4y); 5) y–2 – y2 + y–3 = y–2(1 – y2–(–2) + y–3–(–2)) =y–2(1 – y4 + y–1); 6) xy–9 + 9y–2 = y–2(xy–9–(–2) + 9) = y–2(xy–7 + 9); 7) 2y–3 + 4x–2 = y–2(2y–3–(–2) + 4x–2 : y–2) = y–2(2y–1 + 4x–2y2); 8) y2x–2 – 5 = y–2(y2–(–2)x–2 – 5 : y–2) = y–2(y4x–2 – 5y2); 9) xy–1 – 6/y^3 + y6 + 3 = xy–1 – 6y–3 + y6 + 3 = y–2(xy–1–(–2) – 6y–3–(–2) + y6–(–2) + 3 : y–2) = y–2(xy – 6y–1 + y8 + 3y2).