设m平方+2m-2=0,求m立方+3m平方+2000的值~急

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设m平方+2m-2=0,求m立方+3m平方+2000的值~急

设m平方+2m-2=0,求m立方+3m平方+2000的值~急
设m平方+2m-2=0,求m立方+3m平方+2000的值~急

设m平方+2m-2=0,求m立方+3m平方+2000的值~急
由题意可得:
m^2+2m-2=0可得:
m^2+2m=2
m^3+3m^2+2000=m(m^2+2m)+m^2+2000=m^2+2m+2000=2002

m^2+2m-2=0
m^2=2-2m
m^3=m*m^2=m(2-2m)=2m-2m^2=2m-2(2-2m)=6m-4
m^3+3m^2+2000
=(6m-4)+3(2-2m)+2000
=6m-4+6-6m+2000
=2002

m^3+3m^2+2000
=m(m^2+2m-2)+(m^2+2m-2)+2002
=2002