b: \(=abx^2+ab+a^2x+b^2x\)

\(=bx\left(ax+b\right)+a\left(ax+b\right)\)

\(=\left(ax+b\right)\left(bx+a\right)\)

c: \(=\left(x-1\right)^3-8y^3\)

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

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

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

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

\(10x\left(x-y\right)-6y\left(y-x\right)\)

\(=10x\left(x-y\right)+6x\left(x-y\right)\)

\(=\left(10x+6x\right)\left(x-y\right)\)

\(c,3x^2+5y-3xy-5x\)

\(=\left(3x^2-3xy\right)+\left(5y-5x\right)\)

\(=3x\left(x-y\right)-5\left(x-y\right)\)

\(=\left(3x-5\right)\left(x-y\right)\)

\(e,27+27x+9x^2=3\left(9+9x+x^2\right)\)

\(f,8x^3-12x^2y+6xy^2-y^3\)

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

\(g,x^3+8y^3=x^3+\left(2y\right)^3\)

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

\(i,x^2-25-2xy+y^2\)

\(\left(x^2-2xy+y^2\right)-25=\left(x-y\right)^2-5^2\)

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

a) \(2xy+3z+6y+xz\)

\(=2xy+2.3y\)

\(=2y\left(x+3\right)+3z+xz\)

\(=2y\left(x+3\right)+z\left(x+3\right)\)

\(=\left(x+3\right)\left(2y+z\right)\)

c) \(x^4-9x^3+x^2-9x\)

\(=x\left(x^3-9x^2+x-9\right)\)

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

NHƯNG THIẾU BẠN ƠI

e: \(49-x^2-2xy-y^2\)

\(=49-\left(x+y\right)^2\)

\(=\left(7-x-y\right)\left(7+x+y\right)\)

d: \(16x^2-24xy+9y^2=\left(4x-3y\right)^2\)

a)=xyz(x-x^2y^2+z)

e)=7²+(x-y)² 

^{[7+(y-x)].[(7-(y-x)] còn lại tự làm ;)}

b)=3x(x-2y+5y²z)

bạn đăng nhiều vậy ??

bái phục chị Nguyễn Phương HÀ !

a) 5xy ( x - y ) - 2x + 2y

= 5xy ( x - y ) - 2 ( x - y )

= ( x - y ) ( 5xy - 2 )

b) 6x-2y-x(y-3x)

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

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

c)  x² + 4x - xy-4y

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

( x + 4 ) ( x - y )

d) 3xy + 2z - 6y - xz 

= ( 3xy - 6y ) + ( 2z - xz )

= 3y ( x - 2 ) + z ( x - 2 )

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

a,5xy(x-y)-2x+2y=5xy(x-y)-2(x-y)=(x-y)(5xy-2)

b,6x-2y-x(y-3x)=-2(y-3x)-x(y-3x)=(y-3x)(-2-x)

c,x^2+4x-xy-4y=x(x+4)-y(x+4)=(x+4)(x-y)

d,3xy+2z-6y-xz=(3xy-6y)+(2z-xz)=3y(x-2)+z(2-x)=3y(x-2)-z(x-2)=(x-2)(3y-z)

11)

a,4-9x^2=0

(2-3x)(2+3x)=0

2-3x=0=>x=2/3 hoặc 2+3x=0=>x=-2/3

b,x^2 +x+1/4=0

(x+1/2)^2 =0

x+1/2=0

x=-1/2

c,2x(x-3)+(x-3)=0

(x-3)(2x+1)=0

x-3=0=>x=3 hoặc 2x+1=0=>x=-1/2

d,3x(x-4)-x+4=0

3x(x-4)-(x-4)=0

(x-4)(3x-1)=0

x-4=0=>x=4 hoặc 3x-1=0=>x=1/3

e,x^3-1/9x=0

x(x^2-1/9)=0

x(x+1/3)(x-1/3)=0

x=0 hoặc x+1/3=0=>x=-1/3 hoặc x-1/3=0=>x=1/3

f,(3x-y)^2-(x-y)^2 =0

(3x-y-x+y)(3x-y+x-y)=0

2x(4x-2y)=0

4x(2x-y)=0

x=0hoặc 2x-y=0=>x=y/2

thu thủy học lớp 9 chưa có long lone

a) \(3x^2-6x+9x^2\)

\(=12x^2-6x\)

\(=6x\left(2x-1\right)\)

b) hỏi chấm đề ?

c) \(3x^2+5y-3xy-5x\)

\(=3x\left(x-y\right)-5\left(x-y\right)\)

\(=\left(x-y\right)\left(3x-5\right)\)

d) \(3y^2-3z^2+3x^2-6xy\)

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

\(=3\left[\left(x-y\right)^2-z^2\right]\)

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

e) \(16x^3+54y^3\)

\(=2\left(8x^3+27y^3\right)\)

\(=2\left(2x+3y\right)\left(4x^2-6xy+9y^2\right)\)

f) \(x^2-25-2xy+y^2\)

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

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

g) \(x^5-3x^4-3x^3-x^2\)

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