已知(a+b)2=17,ab=3.求(a-b)2的值

已知(a+b)2=17,ab=3.求(a-b)2的值.
2025-01-20 01:42:14
推荐回答(1个)
回答1:

∵(a+b)2=17,ab=3,
∴a2+2ab+b2=17,则a2+b2=17-2ab=17-6=11,
∴(a-b)2=a2-2ab+b2=11-6=5.