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a) = x2 + 2x + 3x + 6 = x( x + 2 ) + 3( x + 2 ) = ( x + 2 )( x + 3 )
b) = x2 - x + 4x - 4 = x( x - 1 ) + 4( x - 1 ) = ( x - 1 )( x + 4 )
c) = ( x2 - 10x + 25 ) - 9 = ( x - 5 )2 - 32 = ( x - 8 )( x - 2 )
d) = 6x2 - 15x + 8x - 20 = 3x( 2x - 5 ) + 4( 2x - 5 ) = ( 2x - 5 )( 3x + 4 )
a) x2 + 5x + 6 = x2 + 2x + 3x + 6
= x(x + 2) + 3(x + 2) = (x + 3)(x + 2)
b) x2 + 3x - 4 = x2 - x + 4x - 4 = x(x - 1) + 4(x - 1) = (x + 4)(x - 1)
c) x2 - 10x + 16 = x2 - 2x - 8x + 16 = x(x - 2) - 8(x - 2) = (x - 8)(x - 2)
d) 6x2 - 7x - 20 = 6x2 + 8x - 15x - 20 = 2x(3x + 4) - 5(3x + 4) = (2x - 5)(3x + 4)
a) \(x^3+5x^2+8x+4=x^3+x^2+4x^2+4x+4x+4\)
\(=x^2\left(x+1\right)+4x\left(x+1\right)+4\left(x+1\right)\)
\(=\left(x+1\right)\left(x^2+4x+4\right)=\left(x+1\right)\left(x+2\right)^2\)
b) \(x^3-9x^2+6x+16=x^3-8x^2-x^2+8x-2x+16\)
\(=x^2\left(x-8\right)-x\left(x-8\right)-2\left(x-8\right)\)
\(=\left(x-8\right)\left(x^2-x-2\right)=\left(x-8\right)\left(x-2\right)\left(x+1\right)\)
a, 5x^2 +5xy - x - y
= 5x ( x+ y ) - (x + y)
= ( 5x - 1)(x + y)
b, 2x^2 + 3x - 5
= 2x^2 - 2x + 5x - 5
= 2x( x - 1) + 5( x - 1)
= ( 2x + 5 )(x- 1 )
c; 16x - 5x^2 - 3
c, = - ( 5x^2 - 16x + 3 )
= - ( 5x^2 - x - 15x + 3 )
= - [ x(5x - 1 ) - 3 (5x - 1) ]
= - ( x- 3)(5x - 1 )
5x^2 - 20
= 5 ( x^2 - 4 )
= 5 ( x^2 - 2^2 )
= 5 ( x - 2 ) ( x + 2 )
a)x^2-4xy+4y^2-4
=(x2-4xy+4y2)-4
=(x-2y)2-4
=(x-2y+2)(x-2y-2)
b)16-x^2+2xy-y^2
=16-(x2-2xy+y2)
=16-(x-y)2
=[4-(x-y)][4+(x-y)]
=(4-x+y)(4+x-y)
a. 2xy - x2 - y2 + 16
=(2xy-x2-y2)+16
=16-(x-y)2
=(4+x-y)(4-x+y)
b. x2 + x - 6
=x2+3x-2x-6
=x(x+3)-2(x+3)
=(x-2)(x+3)
c. x2 + 5x + 6
=x2+3x+2x+6
=x(x+3)+2(x+3)
=(x+2)(x+3)
b: \(=x\left(x^4-5x^2+4\right)\)
\(=x\left(x^4-x^2-4x^2+4\right)\)
\(=x\left(x^2-1\right)\left(x^2-4\right)\)
\(=x\left(x-1\right)\left(x+1\right)\left(x-2\right)\left(x+2\right)\)
a: Đa thức này không phân tích được bạn nhé
a) 5x2 -20
= 5(x2 -4)
=5 (x2 -22)
= 5(x-2)(x+2)
b) 16 - (x+y)2
=42 -(x+y)2
= (4-x-y)(4+x+y)
a, \(5\left(x^2-4\right)=5\left(x-2\right)\left(x+2\right)\)
b, \(16-\left(x+y\right)^2=\left(4-x-y\right)\left(4+x+y\right)\)
mấy bài này áp dụng hđt là được nhé