因式分解(a的平方+1)(a+1)-(a+1)的平方，a的平方-b的平方-2/3b-1/9 15
2个回答
展开全部
a(a+1)（a-1）, (a+b+1/3)(a-b-1/3)
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
展开全部
( a” + 1 )( a + 1 ) - ( a + 1 )”
= ( a + 1 )[ ( a” + 1 ) - ( a + 1 ) ]
= ( a + 1 )[ a” + 1 - a - 1 ]
= ( a + 1 )[ a” - a ]
= a( a - 1 )( a + 1 )
a” - b” - (2/3)b - 1/9
= (1/9)[ 9a” - 9b” - 6b - 1 ]
= (1/9)[ (3a)” - ( 3”b” + 6b + 1 ) ]
= (1/9)[ (3a)” - ( 3b + 1 )” ]
= (1/9)[ 3a - ( 3b + 1 ) ][ 3a + ( 3b + 1 ) ]
= (1/9)( 3a - 3b - 1 )( 3a + 3b + 1 )
= ( a - b - 1/3 )( a + b + 1/3 )
= ( a + 1 )[ ( a” + 1 ) - ( a + 1 ) ]
= ( a + 1 )[ a” + 1 - a - 1 ]
= ( a + 1 )[ a” - a ]
= a( a - 1 )( a + 1 )
a” - b” - (2/3)b - 1/9
= (1/9)[ 9a” - 9b” - 6b - 1 ]
= (1/9)[ (3a)” - ( 3”b” + 6b + 1 ) ]
= (1/9)[ (3a)” - ( 3b + 1 )” ]
= (1/9)[ 3a - ( 3b + 1 ) ][ 3a + ( 3b + 1 ) ]
= (1/9)( 3a - 3b - 1 )( 3a + 3b + 1 )
= ( a - b - 1/3 )( a + b + 1/3 )
本回答被网友采纳
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
