(1)将a+b=3两边平方得:(a+b) 2 =9,即a 2 +2ab+b 2 =9, ∵ab=-12, ∴a 2 -24+b 2 =9,即a 2 +b 2 =33, 则a 2 -ab+b 2 =33+12=45; (2)∵a 2 +b 2 =33,ab=-12, ∴(a-b) 2 =a 2 -2ab+b 2 =33+24=57.