若P=a²+3ab+b²,Q=a²-3ab+b²,化简P-[Q-2P-(-P-Q)]

问题描述:

若P=a²+3ab+b²,Q=a²-3ab+b²,化简P-[Q-2P-(-P-Q)]

P-[Q-2P+P+Q]
=P-[2Q-P]
=P-2Q+P
=2P-2Q=2(P-Q) 将P=a²+3ab+b²,Q=a²-3ab+b²,带入可得结果为:12ab