m^2+m-1=0,则m^3+2m^2+1等于?
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m^2+m-1=0,则m^3+2m^2+1等于?
如题
如题
![m^2+m-1=0,则m^3+2m^2+1等于?](/uploads/image/z/6494241-57-1.jpg?t=m%5E2%2Bm-1%3D0%2C%E5%88%99m%5E3%2B2m%5E2%2B1%E7%AD%89%E4%BA%8E%3F)
m^2 + m - 1 = 0
m^2 + m = 1
m^3 + 2m^2 + 1 = m(m^2 + m) + m^2 + 1
= m + m^2 + 1
= 1 + 1
= 2
m^2 + m = 1
m^3 + 2m^2 + 1 = m(m^2 + m) + m^2 + 1
= m + m^2 + 1
= 1 + 1
= 2
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