Rút gọn a,-2x(x-3) ²+(x+2)(x-1)(x+1) b, (x-5)(x+5)(x-2)-(x-1)(x+2) ² c, (4x-1)(x-1)-4x(x+5)

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1. a , -2x ( x – 3 )² + ( x + 2 ) ( x – 1 )( x + 1 )

   = -2x ( x² – 6x + 9 ) + ( x – 2 ) ( x² – 1 )

   = -2x³ + 12x² – 18x + x³ – x – 2x² + 2

   = -x³ + 10x² – 19x + 2

   b , ( x – 5 ) ( x + 5 )( x – 2 ) – ( x – 1 ) ( x + 2 )²

   = ( x² – 25 ) ( x – 2 ) – ( x – 1 ) ( x² + 4x + 4 )

   = x³ – 2x² – 25x + 50 – x³ – 4x² – 4x + x² + 4x + 4

   = -5x² – 25x + 54

   c , ( 4x – 1 ) ( x – 1 ) – 4x ( x + 5 )

   = 4x² – 4x – x +1 – 4x² – 20x

   = -25x + 1

   chúc em học tốt

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2. `a , -2x ( x – 3 )² + ( x + 2 ) ( x – 1 )( x + 1 )`

   `= -2x ( x² – 6x + 9 ) + ( x – 2 ) ( x² – 1 )`

   `= -2x³ + 12x² – 18x + x³ – x – 2x² + 2`

   `= -x³ + 10x² – 19x + 2`

   `b , ( x – 5 ) ( x + 5 )( x – 2 ) – ( x – 1 ) ( x + 2 )²`

   `= ( x² – 25 ) ( x – 2 ) – ( x – 1 ) ( x² + 4x + 4 )`

   `= x³ – 2x² – 25x + 50 – x³ – 4x² – 4x + x² + 4x + 4`

   `= -5x² – 25x + 54`

   `c , ( 4x – 1 ) ( x – 1 ) – 4x ( x + 5 )`

   `= 4x² – 4x – x +1 – 4x² – 20x`

   `= -25x + 1`

   Xin hay nhất !

    

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