已知|a+1|+4a^2+4ab+b^2=0,求(a+1/2b)^2-(a-1/2b)^2-a^2(-2ab)^2的值

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已知|a+1|+4a^2+4ab+b^2=0,求(a+1/2b)^2-(a-1/2b)^2-a^2(-2ab)^2的值已知|a+1|+4a^2+4ab+b^2=0,求(a+1/2b)^2-(a-1/2

已知|a+1|+4a^2+4ab+b^2=0,求(a+1/2b)^2-(a-1/2b)^2-a^2(-2ab)^2的值
已知|a+1|+4a^2+4ab+b^2=0,求(a+1/2b)^2-(a-1/2b)^2-a^2(-2ab)^2的值

已知|a+1|+4a^2+4ab+b^2=0,求(a+1/2b)^2-(a-1/2b)^2-a^2(-2ab)^2的值
|a+1|+4a^2+4ab+b^2=0
|a+1|+(2a+b)^2=0
那么a+1=0,2a+b=0
∴a=-1,b=-2a=2
∴(a+1/2b)^2-(a-1/2b)^2-a^2(-2ab)^2
=[(a+1/2b)+(a-1/2b)][(a+1/2b)-(a-1/2b)]-4a^4b^2
=2ab-4a^4b^2
=-4-16
=-20