
1․ ab4 — ba4 / a3 — b3 + 3ab = ab(b3 — a3) / -(b3 — a3) + 3ab = -ab + 3ab = 2ab
(11 + 2√11 — 2√11 — 4) = 2 + 7 = 14
2. √60 — √20 / √5 — √15 = 2√5 — 2√5 / √5 — √15 = 2√15 — 2√5 / — (√15 — √5) = 2(√15 — √5) / — (√15 — √5) = -2

4. lg8 + lg18 / 2lg2 + lg3 = lg144/lg12 = lg122 / lg12 = 2log12 / lg 12 = 2

- 4a2 — 1 / 2a + 1 * a + 1 / 2a2 — a = (
2a — 1)(2a + 1) / 2a + 1 * a + 1 / a(2a — 1) = (2a + 1)(a + 1)/a(2a + 1) = a+1/a