6x²+7xy+2y²

=6x²+3xy+4xy+2y²

=3x.(2x+y)+2y.(2x+y)

=(2x+y)(3x+2y)

a)  \(x^2+6x+8\)

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

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

\(\left(x-2\right)\left(x-4\right)\)

b) \(x^2-7xy+10y^2\)

\(=x^2-2xy-5xy+10y^2\)

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

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

a) x² - 6x + 8

= x² -2x - 4x +8

= x( x-2) -4( x-2)

= ( x-2)(x-4)

a/ \(x^2-6x+8=x^2-2x-4x+8\) \(8\) \(=x\left(x-2\right)-4\left(x-2\right)\) \(=\left(x-4\right)\left(x-2\right)\)

b/ \(x^2-7xy+10y^2\) \(=x^2-2xy-5xy+10y^2\) \(=x\left(x-2y\right)-5y\left(x-2y\right)\) \(=\left(x-5y\right)\left(x-2y\right)\)

phân tích đa thức thành nhân tử

a, 6x^2 + 7xy + 2y^2

=6x^2+3xy+4xy+2y^2

=3x(x+y)+2y(x+y)

=(3x+2y)(x+y)

b, 9x^2 - 9xy - 4y^2

=9x^2 +3xy-12xy-4y^2

=3x(x+y)-4y(x+y)

=(3x+4y)(x+y)

c, x^2 - y^2 + 10x - 6y + 16=x^2-y^2+6x-6y+4x+16=x(x+6)-y(x+6)+4(x+6)=(x-y+4)(x+6)

Bài làm

a, 6x² + 7xy + 2y²

= 6x² + 3xy + 4xy + 2y² 

= ( 6x² + 3xy ) + ( 4xy + 2y² )

= 3x( 2x + y ) + 2y( 2x + y )

= ( 2x + y )( 3x + 2y )

b, 9x² - 9xy - 4y² 

= 9x² - 12xy + 3xy - 4y² 

= ( 9x² - 12xy ) + ( 3xy - 4y² )

= 3x( 3x - 4y ) + y ( 3x - 4y )

= ( 3x + y )( 3x - 4y )

c, x² - y² + 10x - 6y + 16

 = x² - y² - 6x + 6y + 4x + 16

= x( x + 6 ) - y( x + 6 ) + 4( x + 6 )

= ( x - y + 4 )( x + 6 )

# Học tốt #

\(=6x^2-9xy+2xy-3y^2\)

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

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

\(-7xy+3x^2+2y^2\\=3x^2-7xy+2y^2\\=3x^2-6xy-xy+2y^2\\=3x(x-2y)-y(x-2y)\\=(x-2y)(3x-y)\)

\(3x^2-7xy+2y^2\)

\(=3x^2-6xy-xy+2y^2\)

\(=\left(3x^2-6xy\right)-\left(xy-2y^2\right)\)

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

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

= x^2 - 7xy + 10y^2
= x^2 - 2xy -5xy + 10y^2
= x( x - 2y ) - 5y( x - 2y )
= ( x - 2y )( x - 5y )

x² – 7xy + 10y2 

= x² – 2xy – 5xy + 10y²

= x(x – 2y) – 5y(x – 2y)

= (x – 2y)(x – 5y)