(a+b)∧2+4a(a+b)+3 因式分解
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解决时间 2021-01-13 13:36
- 提问者网友：精神病院里
- 2021-01-12 19:35
(a+b)∧2+4a(a+b)+3 因式分解
最佳答案
- 五星知识达人网友：英雄的欲望
- 2021-01-12 19:45
( a + b )” + 4( a + b ) + 3
= ( a + b )” + ( a + b ) + 3( a + b ) + 3
= ( a + b )( a + b + 1 ) + 3( a + b + 1 )
= ( a + b + 1 )( a + b + 3 )
或者
= ( a + b )” + 3( a + b ) + ( a + b ) + 3
= ( a + b )( a + b + 3 ) + ( a + b + 3 )
= ( a + b + 1 )( a + b + 3 )
( a + b )” + 4a( a + b ) + 3a”
= ( a + b )” + a( a + b ) + 3a( a + b ) + 3a”
= ( a + b )( a + b + a ) + 3a( a + b + a )
= ( a + b + a )( a + b + 3a )
= ( 2a + b )( 4a + b )
或者
= ( a + b )” + 3a( a + b ) + a( a + b ) + 3a”
= ( a + b )( a + b + 3a ) + a( a + b + 3a )
= ( a + b + a )( a + b + 3a )
= ( 2a + b )( 4a + b )
= ( a + b )” + ( a + b ) + 3( a + b ) + 3
= ( a + b )( a + b + 1 ) + 3( a + b + 1 )
= ( a + b + 1 )( a + b + 3 )
或者
= ( a + b )” + 3( a + b ) + ( a + b ) + 3
= ( a + b )( a + b + 3 ) + ( a + b + 3 )
= ( a + b + 1 )( a + b + 3 )
( a + b )” + 4a( a + b ) + 3a”
= ( a + b )” + a( a + b ) + 3a( a + b ) + 3a”
= ( a + b )( a + b + a ) + 3a( a + b + a )
= ( a + b + a )( a + b + 3a )
= ( 2a + b )( 4a + b )
或者
= ( a + b )” + 3a( a + b ) + a( a + b ) + 3a”
= ( a + b )( a + b + 3a ) + a( a + b + 3a )
= ( a + b + a )( a + b + 3a )
= ( 2a + b )( 4a + b )
全部回答
- 1楼网友：平生事
- 2021-01-12 20:52
(a+b)²+4(a+b)+3
=(a+b+1)(a+b+3)
=(a+b+1)(a+b+3)
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