已知m+1/m=2,计算(m^4+m^2+1)/m^2的值

Question

已知m+1/m=2,计算(m^4+m^2+1)/m^2的值

Answer 1

(m^4+m^2+1)/m^2=m²+1/m²+1=(m+1/m)²-2+1=2²-2+1=4-2+1=3