若|M+1/3|+(N-1/2)²=0,求多项式M²+2M^3N+2M²-2M^3N+3N²=?

问题描述:

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