Вправи 301 - 400 » 397

397. Розкладіть на множники: 1) x–2 – 25 = (x–1)2 – 52 = (x–1 – 5)(x–1 + 5); 2) a–2 – b2 = (a–1)2 – b2 = (a–1 – b)(a–1 + b); 3) n–2 – m–2 = (n–1)2 – (m–1)2 = (n–1 – m–1)(n–1 + m–1); 4) x–8 – (1 + x–4)2 = (x–4)2 – (1 + x–4)2 = (x–4 – (1 + x–4))(x–4 + (1 + x–4)); 5) (n–2 – m–2)2 – (m–2 + n–2)2 = (n–2 – m–2 – (m–2 + n–2)) • (n–2 – m–2 + (m–2 + n–2)); 6) (x–2 + 2)2 – (3x–2 – 4)2 = (x–2 + 2 – (3x–2 – 4)) • (x–2 + 2 + (3x–2 – 4)).