谁能给我20道初一上的去括号和合并同类项的题目啊
由于考得不好i老师发怒了让我们没人写20道合并同类项的题目谁能给我出点题目过程不用写把答案写出来就行了谢谢啊...
由于考得不好i 老师发怒了 让我们没人写20道合并同类项的题目谁能给我出点题目 过程不用写 把答案写出来就行了谢谢啊
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3个回答
2013-11-06
展开全部
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
(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
2013-11-06
展开全部
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
(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
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2013-11-06
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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
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