初二数学(1)若2x-y=0,求4x³+2xy(x+y)+y的值 2)若m²+m-1=0,求m³+2m²+2008的值
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/26 16:35:31
初二数学(1)若2x-y=0,求4x³+2xy(x+y)+y的值 2)若m²+m-1=0,求m³+2m²+2008的值
初二数学(1)若2x-y=0,求4x³+2xy(x+y)+y的值 2)若m²+m-1=0,求m³+2m²+2008的值
初二数学(1)若2x-y=0,求4x³+2xy(x+y)+y的值 2)若m²+m-1=0,求m³+2m²+2008的值
(1).2x-y=0 y=2x (2).m²+m-1=0 m²+m=1 m(m+1)=1
4x³+2xy(x+y)+y m³+2m²+2008
=4x³+2x×2x(x+2x)+2x =m²(m+1)+m²+2008
=4x³+12x³+2x =m+m²+2008
=16x³+2x =1+2008
=2009
(1)若2x-y=0
所以y=2x
故4x³+2xy(x+y)+y
=4x³+2x*2x(x+2x)+2x
=16x³+2x
2)若m²+m-1=0
所以m²=1-m
所以m³+2m²+2008
=m²(m+2)+2008
=(1-m)(m+2)+2008
=-(m²+m)+2+2008
=-1+2+2008=2009
先解第二个:m2=1+m
m(1-m)+2(1-m)+2008用m代替m2从而降次
m-m2+2-2m+2008又出现讨厌的m2。。。再降!
m-1+m+2-2m+2008 m被消掉了(开心)
=2009
第一个让我想想等等啊~