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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)
(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
(1)(3x-5y)-(6x+7y)+(9x-2y)
(2)2a-[3b-5a-(3a-5b)]
(3)(6m2n-5mn2)-6(m2n-mn2)
(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
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