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解:∵a²+2a+1=0
∴a²+2a=0-1=-1
∴2(a²+2a)=2a²+4a=-2
∴2a²+4a-3=-2-3=-5
a²+2a+1=0
a²+2a=-1
两边乘2
2a²+4a=-2
两边减去3
2a²+4a-3=-5
因为a^2+2a+1=0
所以2a^2+4a-3
=2(a^2+2a+1)-5
=0-5
=-5
a^2+2a+1=0
a^2+2a=-1
2a^2+4a-3=2(a^2+2a)-3=-2-3=-5
(a+1)^2=0
a=-1
2a^2=2
4a=-4
2a^2+4a-3=-5