已知:a+b=4,ab=1.求:(1)(a-b)2的值; (2)a5b-2a4b4+ab5的值

已知:a+b=4,ab=1.求:(1)(a-b)2的值; (2)a5b-2a4b4+ab5的值.
2024-12-30 16:02:29
推荐回答(1个)
回答1:

∵a+b=4,ab=1,
∴(1)原式=(a+b)2-4ab
=42-4
=12;
(2)原式=ab(a4-2a2b2+b4
=ab(a+b)2(a-b)2
=42×12
=192.