(1)求代数式的值,其中.
(2)已知(x+2)2+|x+y+5|=0,求3x2y+{-2x2y-[-2xy+(x2y+4x2)-xy]}的值.
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解:(1)原式=
=3x2y-2xy+3x2y-2xy+3xy2
=6x2y-4xy+3xy2…
由
所以,6x2y-4xy+3xy2=xy(6x-4+3y)
=
=-(18-4-1)
=-13…
(2)由(x+2)2+|x+y+5|=0,
得,x+2=0,且x+y+5=0.
所以x=-2,且y=-3.??…
由3x2y+{-2x2y-[-2xy+(x2y+4x2)-xy]}
=3x2y+[-2x2y-(-3xy+x2y+4x2)]
=3x2y+(-2x2y+3xy-x2y-4x2)
=3x2y+(-3x2y)+3xy-4x2
=3xy-4x2??…
由x=-2,且y=-3.
所以,3xy-4x2=3×(-2)×(-3)-4×(-2)2=2…?
解析分析:(1)先将原式去括号、合并同类项,再把x=3,y=-代入化简后的式子,计算即可.
(2)先由非负数的性质求出x和y,再化简整式,代入求值即可.
点评:考查了整式的化简求值.整式的加减运算实际上就是去括号、合并同类项,这是各地中考的常考点.