A = 6x⁴ - 5x³ + 4x² + 2x - 1

   = 6x⁴ + 3x³ - 8x³ - 4x² + 8x² + 4x - 2x - 1

   = 3x³. ( 2x + 1 ) - 4x² ( 2x + 1 ) + 4x ( 2x + 1 ) - ( 2x + 1 )

   = ( 2x + 1 ) ( 3x³ - 4x² + 4x - 1 )

    = ( 2x + 1 ) ( 3x³ - x² - 3x² + x + 3x - 1 )

     = ( 2x + 1 ) [ x² ( 3x - 1 ) - x ( 3x - 1 ) + ( 3x - 1 ) ]

     = ( 2x + 1 ) ( 3x - 1 ) ( x² - x + 1 )

B = 4x⁴ + 4x³ + 5x² + 8x - 6

    = 4x⁴ - 2x³ + 6x³ - 3x² + 8x² - 4x + 12x - 6

     = 2x³ ( 2x - 1 ) + 3x² ( 2x - 1 ) + 4x ( 2x - 1 ) + 6 ( 2x - 1 )

     = ( 2x - 1 ) ( 2x³ + 3x² + 4x + 6 )

     = ( 2x - 1 ) [ x² ( 2x + 3 ) + 2 ( 2x + 3 ) ]

      = ( 2x - 1 ) ( 2x + 3 ) ( x² + 2 )

C = x⁴ + x³ - 5x² + x - 6

   = x⁴ - 2x³ + 3x³ - 6x² + x² - 2x + 3x - 6 

   = x³ ( x - 2 ) + 3x² ( x - 2 ) + x ( x - 2 ) + 3 ( x - 2 )

   = ( x - 2 ) ( x³ + 3x² + x + 3 )

    = ( x - 2 ) [ x² ( x + 3 ) + ( x + 3 ) ]

    = ( x - 2 ) ( x + 3 ) ( x² + 1 ) 

\(x^3+5x^2+8x-4=x^3+x^2+4x^2+4x+4x+4\)

\(=\left(x^3+x^2\right)+\left(4x^2+4x\right)+\left(4x+4\right)\)

\(=x^2\left(x+1\right)+4x\left(x+1\right)+4\left(x+1\right)\)

\(=\left(x^2+4x+4\right)\left(x+1\right)\)

\(=\left(x+2\right)^2\left(x+1\right)\)

\(a,x^4+5x^3-8x-40=x^3\left(x+5\right)-8\left(x+5\right)\\ =\left(x^3-8\right)\left(x+5\right)=\left(x-2\right)\left(x^2+2x+4\right)\left(x+5\right)\\ b,3x^2-6x-12y^2+3=3\left(x^2-2x-4y^2+1\right)\\ =3\left[\left(x-1\right)^2-4y^2\right]=3\left(x-2y-1\right)\left(x+2y-1\right)\)

\(x^3-5x^2+8x-4\)

\(=x^3-4x^2-x^2+4x+4x-4\)

\(=\left(x^3-4x^2+4x\right)-\left(x^2-4x+4\right)\)

\(=x\left(x^2-4x+4\right)-\left(x^2-4x+4\right)\)

\(=\left(x-1\right)\left(x^2-4x+4\right)\)

\(=\left(x-1\right)\left(x-2\right)^2\)

Xong rùi đấy

ko cần gải mk nghĩ ra roiif

cảm ơn bạn 

Ta có: \(x^3-5x^2+8x-4\)

\(=x^3-4x^2+4x-x^2+4x-4\)

\(=x\left(x^2-4x+4\right)-\left(x^2-4x+4\right)\)

\(=\left(x-2\right)^2\left(x-1\right)\)

Vậy \(A=\left(x-1\right)\left(x-2\right)^2\)

Ta có : \(x^3-5x^2+8x-4\)\(\Leftrightarrow x^3-x^2-4x^2+4x+4x-4\)\(\Leftrightarrow x^2.\left(x-1\right)-4x.\left(x-1\right)+4.\left(x-1\right)\)\(\Leftrightarrow\left(x-1\right).\left(x^2-4x+4\right)\)\(\Leftrightarrow\left(x-1\right).\left(x-2\right)^2\)

<=>x³-x²-4x²+4x+4x-4

<=>x²(x-1)-4x(x-1)+4(x-1)

<=>(x²-4x+4)(x-1)

<=>(x-2)²(x-1)

X³-5X²+8X-4

\(\Leftrightarrow\)X³-X²-4X²+4X-4

\(\Leftrightarrow\)X²(X-1)-4X(X-1)+4(X-1)

\(\Leftrightarrow\)(X-1)(X²-4X+4)

\(\Leftrightarrow\)(X-1)(X-2)²

.........................****..........................

1) x³ + 5x² + 3x - 9

= x³ + 2x² + 3x² + 6x - 3x - 9

= ( x³ + 2x² ) + (3x² + 6x ) - ( 3x + 9 )

= x² ( x+ 2 ) + 3x ( x + 2) - 3( x +2 )

= ( x + 2 ) ( x² + 3x -3 )

2) x³ + 5x² + 8x + 4

= ( x³ + x² ) + ( 4x² + 4x ) + ( 4x + 4 )

= x² ( x + 1 ) + 4x ( x + 1 ) + 4 ( x + 1 )

= ( x + 1) ( x² + 4x + 4 )

= (x + 1 ) ( x + 2 )²

3) x³ - 9x² + 6x + 16

= x³ - 8x² - x² + 8x - 2x + 16

= ( x³ - 8x² ) - ( x² - 8x ) - ( 2x - 16 )

= x² ( x - 8 ) - x ( x - 8 ) - 2 ( x - 8 )

= ( x - 8 ) ( x² - x - 2 )

4) x³ - 4x² + x + 6

= x³ - 3x² - x² + 3x - 2x + 6

= ( x³ - 3x² ) - ( x² - 3x ) - ( 2x - 6)

= x² ( x - 3 ) - x ( x- 3 ) - 2 ( x - 3)

= ( x - 3 ) ( x² - x - 2 )

\(\left(x^2-5x+6\right)\left(x^2-5x+2\right)-5\)

\(\text{Phần tích thành nhân tử :}\)

\(\left(x^2-5x+2\right)\left(x^2-5x+7\right)\)

\(\left(x^2+8x-5\right)\left(x^2+8x+1\right)-16\)

\(\text{Phần tích thành nhân tử :}\)

\(\left(x^2+8x-7\right)\left(x^2+8x+3\right)\)

\(\left(x+2\right)\left(x+3\right)\left(x+4\right)-3\backslash2.x^2\)

\(\text{Phần tích thành nhân tử :}\)

Lười lắm 

ối giời ơi, ghi đề thôi à

a) CMR :  5m+1 - 4m - 5 chia hết 16 ( vs mọi m ϵ N )

b) CMR : 10b - 4b + 3b chia hết 9 ( Vs mọi b ϵ N )

Giúp vs m.n ơi.Mai đi hok rùi................huhuuuuuuu