\(2x^3-2xy^2-8x^2+8xy\)

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

\(=2x\left[\left(x^2-y^2\right)-4\left(x-y\right)\right]\)

\(=2x\left[\left(x-y\right)\left(x+y\right)-4\left(x-y\right)\right]\)

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

2x^3 - 2xy^2 - 8x^2 + 8xy 

= 2x^2 ( x - y ) - 8x ( x - y ) 

= ( x - y ) ( 2x^2 - 8x ) 

= ( x - y ) 2x ( x - 4 ) 

Trả lời:

2x³ - 2xy² - 8x² + 8xy 

= 2x ( x² - y² - 4x + 4y )

= 2x [ ( x² - y² ) - ( 4x - 4y ) ] 

= 2x [ ( x - y )( x + y ) - 4 ( x - y ) ]

= 2x ( x - y )( x + y - 4 ) 

20% dd

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Trả lời:

3, a³b - ab³ + a² + 2ab + b²

= ( a³b - ab³ ) + ( a² + 2ab + b² )

= ab ( a² - b² ) + ( a + b )²

= ab ( a - b )( a + b ) + ( a + b )²

= ( a + b )[ ab( a - b ) + a + b ]

= ( a + b )( a²b - ab² + a + b )

4, 2x³ - 2xy² - 8x² + 8xy 

= ( 2x³ - 2xy² ) - ( 8x² - 8xy )

= 2x ( x² - y² ) - 8x ( x - y )

= 2x ( x - y )( x + y ) - 8x ( x - y )

= ( x - y )[ 2x ( x + y ) - 8x ]

= ( x - y )( 2x² + 2xy - 8x )

= 2x ( x - y )( x + y - 4 )

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

\(2x^3-3x^2+3x-1\)

\(=2x^3-x^2-2x^2+x+2x-1\)

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

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

Lời giải:

$2x^2+3x-5=(2x^2-2x)+(5x-5)=2x(x-1)+5(x-1)=(x-1)(2x+5)$

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

Hãy cho em lời giải trước 4h 

\(5x^2-10x+2x-4\)

\(=5x\left(x-2\right)+2\left(x-2\right)\)

\(=\left(x-2\right)\left(5x+2\right)\)

giúp toi

=2(x-2) + 5x(x-2)

=(x-2)(2+5x)

a)

\(2x^2y-8xy^2\\ =2xy\left(x-4y\right)\)

b)

\(x^2-2xy+y^2-16\\ =\left(x^2-2xy+y^2\right)-16\\ =\left(x-y\right)^2-16\\ =\left(x-y-4\right)\left(x-y+4\right)\)

Phân tích đa thức thành nhân tử :

    8x³ - 8x²y + 2xy²

⁼ 8x³ - 4x²y - 4x²y + 2xy²

= 4x²( x - y ) - 2xy ( x - y )

= ( x - y)(4x² - 2xy)

=  2x(x - y)(2x - y)

a) \(2x^2+5x+2\)

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

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

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

b) \(4x^2-4x-9y^2+12y-3\)

\(=\left(4x^2-4x+1\right)-\left(9y^2-12y+4\right)\)

\(=\left(2x-1\right)^2-\left(3y-2\right)^2\)

\(=\left(2x-1+3y-2\right)\left(2x-1-3y+2\right)\)

\(=\left(2x+3y-3\right)\left(2x-3y+1\right)\)

c) \(x^4-2x^3-4x^2+4x-3\)

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

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

\(=x\left(x^3+x^2-x+1\right)-3\left(x^3+x^2-x+1\right)\)

\(=\left(x^3+x^2-x+1\right)\left(x-3\right)\)

d) \(x^3-x+3x^2y+3xy^2+y^3-y\)

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

\(=\left(x+y\right)^3-\left(x+y\right)\)

\(=\left(x+y\right)\left[\left(x+y\right)^2-1\right]\)

\(=\left(x+y\right)\left(x+y-1\right)\left(x+y+1\right)\)