谁能给我20道初一上的去括号和合并同类项的题目啊
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发布时间:2022-07-09 22:35
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热心网友
时间:2023-10-12 02:54
例1、合并同类项
(1)(3x-5y)-(6x+7y)+(9x-2y)
(2)2a-[3b-5a-(3a-5b)]
(3)(6m2n-5mn2)-6(m2n-mn2)
解:(1)(3x-5y)-(6x+7y)+(9x-2y)
=3x-5y-6x-7y+9x-2y (正确去掉括号)
=(3-6+9)x+(-5-7-2)y (合并同类项)
=6x-14y
(2)2a-[3b-5a-(3a-5b)] (应按小括号,中括号,大括号的顺序逐层去括号)
=2a-[3b-5a-3a+5b] (先去小括号)
=2a-[-8a+8b] (及时合并同类项)
=2a+8a-8b (去中括号)
=10a-8b
(3)(6m2n-5mn2)-6(m2n-mn2) (注意第二个括号前有因数6)
=6m2n-5mn2-2m2n+3mn2 (去括号与分配律同时进行)
=(6-2)m2n+(-5+3)mn2 (合并同类项)
=4m2n-2mn2
例2.已知:A=3x2-4xy+2y2,B=x2+2xy-5y2
求:(1)A+B (2)A-B (3)若2A-B+C=0,求C。
解:(1)A+B=(3x2-4xy+2y2)+(x2+2xy-5y2)
=3x2-4xy+2y2+x2+2xy-5y2(去括号)
=(3+1)x2+(-4+2)xy+(2-5)y2(合并同类项)
=4x2-2xy-3y2(按x的降幂排列)
(2)A-B=(3x2-4xy+2y2)-(x2+2xy-5y2)
=3x2-4xy+2y2-x2-2xy+5y2 (去括号)
=(3-1)x2+(-4-2)xy+(2+5)y2 (合并同类项)
=2x2-6xy+7y2 (按x的降幂排列)
(3)∵2A-B+C=0
∴C=-2A+B
=-2(3x2-4xy+2y2)+(x2+2xy-5y2)
=-6x2+8xy-4y2+x2+2xy-5y2 (去括号,注意使用分配律)
=(-6+1)x2+(8+2)xy+(-4-5)y2 (合并同类项)
=-5x2+10xy-9y2 (按x的降幂排列)
例3.计算:
(1)m2+(-mn)-n2+(-m2)-(-0.5n2)
(2)2(4an+2-an)-3an+(an+1-2an+1)-(8an+2+3an)
(3)化简:(x-y)2-(x-y)2-[(x-y)2-(x-y)2]
解:(1)m2+(-mn)-n2+(-m2)-(-0.5n2)
=m2-mn-n2-m2+n2 (去括号)
=(-)m2-mn+(-+)n2 (合并同类项)
=-m2-mn-n2 (按m的降幂排列)
(2)2(4an+2-an)-3an+(an+1-2an+1)-(8an+2+3an)
=8an+2-2an-3an-an+1-8an+2-3an (去括号)
=0+(-2-3-3)an-an+1 (合并同类项)
=-an+1-8an
(3)(x-y)2-(x-y)2-[(x-y)2-(x-y)2] [把(x-y)2看作一个整体]
=(x-y)2-(x-y)2-(x-y)2+(x-y)2 (去掉中括号)
=(1--+)(x-y)2 (“合并同类项”)
=(x-y)2
热心网友
时间:2023-10-12 02:54
1去括号
(1) -(2m-3)=-2m+3
(2) n-3(4-2m)=n-12+6m
3)16a-8(3b+4c)=16a-24b-32c
4)t+2/3(12-9v)=t+8-6v
5)-(5m+n)-7(a-3b)=-5m-n-7a+21b
6)-1/2(x+y)+1/4(p+q)=-1/2x-1/2y+1/4p+1/4q
7)-8(3a-2ab+4)=-24a+16ab-32
8)4(m+p)-7(n-2q)=4m+4p-7n+14q
2化简下列各式:
(1)-2n-(3n-1)=-5n+1
(2)a-(5a-3b)+(2b-a)=-5a+5b
(3)-3(2s-5)+6s=15
(4)1-(2a-1)-(3a+3)=-5a-1
(5)3(-ab+2a)-(3a-b)=3a-3ab+b
(6)14(abc-2a)+3(6a-2abc) =14abc-28a+18a-6abc=8abc-10a
(7)3(xy-2z)+(-xy+3z) =3xy-6z-xy+3z=2xy-3z
热心网友
时间:2023-10-12 02:55
3(x-5)+5{2[2(4-3+3)]}=3x-15+5{2[8-6+6]}=3X- 15+5{16-12+ 12}=3X-15+90-60+60=3X-85