问题
解答题
代数式化简求值 (1)化简求值:若(x+2)2+|y+3|+(z-1)2=0,求3x2y-{xyz-(2xyz-x2z)-4x2z+[3x2y-(4xyz-5x2z-3xyz)]}的值. (2)代数式2x2+ax-y+6与多项式2bx2-3x+5y-1的差与字母x的值无关,求
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答案
(1)∵(x+2)2+|y+3|+(z-1)2=0,
∴x+2=0,y+3=0,z-1=0,
∴x=-2,y=-3,z=1,
则3x2y-{xyz-(2xyz-x2z)-4x2z+[3x2y-(4xyz-5x2z-3xyz)]}
=3x2y-{xyz-2xyz+x2z-4x2z+3x2y-4xyz+5x2z+3xyz}
=3x2y-{-2xyz+2x2z+3x2y}
=2xyz-2x2z,
代入值得,原式=2xyz-2x2z=12-8=4;
(2)2x2+ax-y+6-(2bx2-3x+5y-1)
=2x2+ax-y+6-2bx2+3x-5y+1
=(2-2b)x2+(a+3)x-6y+7
∵与字母x的值无关,
∴b=1,a=-3,
则原式=-9-3-3+2=-13.