Вправи 301 - 400 » 396

396. Розкладіть на множники: 1) y–2 – 4 = (y–1)2 – 22 = (y–1 – 2)(y–1 + 2); 2) x–2 – y2 = (x–1)2 – y2 = (x–1 – y)(x–1 + y); 3) a2d–2 – b–2 = (ad–1)2 – (b–1)2 = (ad–1 – b–1) • (ad–1 + b–1); 4) n–4 – m–4 = (n–2)2 – (m–2)2 = (n–2 – m–2)(n–2 + m–2); 5) n–4 – m6 = (n–2)2 – (m3)2 = (n–2 – m3)(n–2 + m3); 6) a–2 – (4 + a)–2 = (a–1)2 – ((4 + a)–1)2 = (a–1 – (4 + a)–1) • (a–1 + (4 + a)–1); 7) (x–2 + y–2)2 – (x–2 – y–2)2 = (x–2 + y–2 – (x–2 – y–2)) • (x–2 + y–2 + (x–2 – y–2)); 8) (2 + m–2)2 – (2 – m–2)2 = (2 + m–2 – (2 – m–2)) • (2 + m–2 + (2 – m–2)).