已知a+b=-2,a-b=2,把(a^2+b^2-1)^2-4a^2b^2

问题描述:

已知a+b=-2,a-b=2,把(a^2+b^2-1)^2-4a^2b^2

(a^2+b^2-1)^2-4a^2b^2
=(a²+b²-1+2ab)(a²+b²-1-2ab)
=[(a+b)²-1][(a-b)²-1]
=[(-2)²-1][2²-1]
=3×3
=9