Вправи 401 - 467 » 407

407. Дано вираз: х–4 + х–3 + х–2 + х–1 + 1. Винесіть за дужки: 1) x–4 + x–3 + x–2 + x–1 + 1 = x(x–4–1 + x–3–1 + x–2–1 + x–1–1 + 1 : x) = x(x–5 + x–4 + x–3 + x–2 + x–1); 2) x–4 + x–3 + x–2 + x–1 + 1 = x6(x–4–6 + x–3–6 + x–2–6 + x–1–6 + 1 : x6) = x6(x–10 + x–9 + x–8 + x–7 + x–6); 3) x–4 + x–3 + x–2 + x–1 + 1 = x–1(x–4–(–1) + x–3–(–1) + x–2–(–1) + 1 + 1 : x–1) = x–1(x–3 + x–2 + x–1 + 1 + x); 4) x–4 + x–3 + x–2 + x–1 + 1 = x–4(1 + x–3–(–4) + x–2–(–4) + x–1–(–4) + 1 : x–4) = x–4(1 + x + x2 + x3 + x4); 5) x–4 + x–3 + x–2 + x–1 + 1 = x–5(x–4–(–5) + x–3–(–5) + x–2–(–5) + x–1–(–5) + 1 : x–5) = x–5(x + x2 + x3 + x4 + x5); 6) x–4 + x–3 + x–2 + x–1 + 1 = x–10(x–4–(–10) + x–3–(–10) + x–2–(–10) + x–1–(–10) + 1 : x–10) = x–10(x6 + x7 + x8 + x9 + x10).