若|M+1/3|+(N-1/2)²=0,求多项式M²+2M^3N+2M²-2M^3N+3N²=?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 06:09:02
![若|M+1/3|+(N-1/2)²=0,求多项式M²+2M^3N+2M²-2M^3N+3N²=?](/uploads/image/z/1022426-26-6.jpg?t=%E8%8B%A5%7CM%2B1%2F3%7C%2B%EF%BC%88N-1%2F2%EF%BC%89%26%23178%3B%3D0%2C%E6%B1%82%E5%A4%9A%E9%A1%B9%E5%BC%8FM%26%23178%3B%2B2M%5E3N%2B2M%26%23178%3B-2M%5E3N%2B3N%26%23178%3B%3D%3F)
若|M+1/3|+(N-1/2)²=0,求多项式M²+2M^3N+2M²-2M^3N+3N²=?
若|M+1/3|+(N-1/2)²=0,求多项式M²+2M^3N+2M²-2M^3N+3N²=?
若|M+1/3|+(N-1/2)²=0,求多项式M²+2M^3N+2M²-2M^3N+3N²=?
|M+1/3|+(N-1/2)²=0,
|M+1/3|=0,(N-1/2)²=0,
M=-1/3
N=1/2
M²+2M^3N+2M²-2M^3N+3N²
=M²+2M²+2M^3N-2M^3N+3N²
=3M²+3N²
=3*(-1/3)²+3*(1/2)²
=1/3+3/4
=4/12+9/12
=13/12
∵|M+1/3|+(N-1/2)²=0 ∴M=-1/3 N=1/2(非负数和为0,则每个非负数为0)
∴M²+2M^3N+2M²-2M^3N+3N²=3M²+3N²=3×(-1/3)²+3×(1/2)²=1/3+3/4=13/12
m是-1/3
n是1/2
最后算出-1/36