Phân tích nhân tử a) x^2 – x b)5x^2 (x – 2y ) -15x (x-2y ) c) 3(x-y) -5x(y-x) d) 3x(x+1)^2 – 5x^2 (x+1) +7(x+1)

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1. a) x² – x = x ( x – 1 )

   b) 5x²( x – 2y ) – 15x( x – 2y ) = ( x – 2y )( 5x² – 15x )

   c) 3( x – y ) – 5x( y – x ) = 3( x – y ) + 5x( x – y ) = ( x – y )( 3 – 5x )

   d) 3x( x + 1 )² – 5x²( x + 1 ) + 7( x + 1 )

    = 3x( x² + 2.x.1 + 1² ) – ( x + 1 )( 3x – 5x )

    = 3x( x² + 2x + 1 ) – ( x + 1 )( 3x – 5x )

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2. Đáp án:

   a)x²-x

   =x(x-1)

   b)5x²(x-2y)-15x(x-2y)

   =(x-2y)(5x²-15x²)

   =5x²(x-2y)(1-3)

   =5x²(x-2y)(-2)

   c)3(x-y)-5x(y-x)

   =3(x-y)+5x(x-y)

   =(x-y)(3+5x)

   d)3x(x+1)²-5x²(x+1)+7(x+1)

   =(x+1)[3x(x+1)-5x²+7]

   =(x+1)(3x²+3x-5x²+7)

   =(x+1)(-2x²+3x+7)

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