用配方法说明代数式x²+2mx+2m²+1的值恒大于零稍微详细点...能看得懂

用配方法说明代数式x²+2mx+2m²+1的值恒大于零稍微详细点...能看得懂
用配方法说明代数式x²+2mx+2m²+1的值恒大于零
稍微详细点...能看得懂

用配方法说明代数式x²+2mx+2m²+1的值恒大于零稍微详细点...能看得懂
x²+2mx+2m²+1
=(x²+2mx+m²)+m²+1
=(x+m)²+m²+1
因为(x+m)²≥0
m²≥0
所以(x+m)²+m²+1>0
所以代数式x²+2mx+2m²+1的值恒大于零