Phân tích đa thức thành nhân tử a)a^2+2ab+b^2-c^2-2cd-d^2 b)x^2-4xy+4y^2-x+2y c)z^2-(x-1)^2+2xy-y^2 d)xz-yz-x^2+2xy-y^2 e)x^2+(a+b)xy+2aby^2 f)x^2-xy+

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1. a) a² + 2ab + b² – c² – 2cd – d²

   = ( a² + 2ab + b² ) – ( c² + 2cd + d² )

   =  ( a + b )² – ( c + d )²

   = ( a + b – c – d )( a + b + c + d )

   b) x² – 4xy + 4y² – x + 2y

   = ( x² – 4xy + 4y² ) – ( x – 2y )

   = ( x – 2y )² – ( x – 2y )

   = ( x – 2y )( x – 2y – 1 )

   c) z² – x² + 2xy – y² < đã sửa >

   = z² – ( x² – 2xy + y² )

   = z² – ( x – y )²

   = ( z – x + y )( z + x – y )

   d) xz – yz – x² + 2xy – y²

   = ( xz – yz ) – ( x² – 2xy + y² )

   = z( x – y ) – ( x – y )²

   = ( x – y )( z – x + y )

   e) x² + ( a + b )xy + aby² < đã sửa >

   = x² + axy + bxy + aby²

   = ( x² + bxy ) + ( axy + aby² )

   = x( x + by ) + ay( x + by )

   = ( x + by )( x + ay )

   f) x² – xy + 4x – 2y + 4

   = ( x² + 4x + 4 ) – ( xy + 2y )

   = ( x + 2 )² – y( x + 2 )

   = ( x + 2 )( x + 2 – y )

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