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
问题描述：
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
答
x²+2mx+2m²+1=(x²+2mx+m²)+m²+1=(x+m)²+m²+1因为(x+m)²≥0m²≥0所以(x+m)²+m²+1>0所以代数式x²+2mx+2m²+1的值恒大于零