\(8x^2y-18y\)

\(=2y\left(x^2-9\right)\)

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

\(3x^3+6x^2+3x-12xy^2\)

\(=3x\left(x^2+2x+1-4y^2\right)\)

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

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

1, \(5x^2+10x+5-5y^2=5\left(x^2+2x+1-y^2\right)\)

\(=5\left[\left(x+1\right)^2-y^2\right]=5\left(x+1-y\right)\left(x+1+y\right)\)

2, \(3x^3+6x^2+3x-12xy^2=3x\left(x^2+2x+1-4y^2\right)\)

\(=3x\left[\left(x+1\right)^2-4y^2\right]=3x\left(x+1-2y\right)\left(x+1+2y\right)\)

a: =(2x-3y)^2-4(2x-3y)

=(2x-3y)(2x-3y-4)

b: =3x^2+21x-x-7

=(x+7)(3x-1)

c: =(3x-1)^4+2(3x-1)^2+1

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

d: =2x^3-2x^2-x^2+x+x-1

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

3x² + 6x + 12

= 3(x² + 2x + 4)

= 3(x + 2)²

sorry, mik sửa:

3x² + 6x + 12

= 3(x² + 2x + 4)

a,3x³y³-15x²y²=3x²y²(xy-5)

b,2x(x-5y)+8y(5y-x)=2x(x-5y)-8y(x-5y)=(x-5y).(2x-8y)

c,(3x-1)²-16=(3x-1)²-4²=(3x-1+4)(3x-1-4)=(3x+3)(3x-5)

d,x³-3x²+3x-1=x³-1-(3x²+3x)=x³-1-3x(x+1)=(x³-1-3x)(x+1)

e,125x³+1=(5x)³+1³=(5x+1)(25x²-5x.1+1²)

f,x³+6x²y+12xy²+8y³=x³+3.x².2y+3.x.(2y)²+(2y)³=(x+2y)³

3(x²-2x+1-y²⁾ 

=3((x-1)²-y²)

3.(x-1-y)(x-1+y)

tik nha 3:)

a) 3x^2 -6x + 3 - 3y^2

=3.(x²-2x+1-y²)

=3.[(x-1)²-y²]

=3.(x-1+y)(x-1-y)

Trả lời:

1, 15x + 15y = 15 ( x + y )

2, 8x - 12y = 4 ( 2x - 3y )

3, xy - x = x ( y - 1 )

4, x² + x = x ( x + 1 )

5, 3x²y - 8xy² = xy ( 3x - 8y )

6, 6x - 12xy - 18x² = 6x ( 1 - 2y - 3x )

1) 15x + 15y = 15(x + y)

2) 8x - 12y = 4(2x - 3y)

3) xy - x = x(y - 1)

4) x² + x = x(x + 1) 

5) 3x²y - 8xy² = xy(3x - 8y)

6) 6x - 12xy - 18x² = 6x(1 - 2y - 3x) 

1.\(15x+15y=15\left(x+y\right)\)

2.\(8x-12y=4\left(2x-3y\right)\)

3.\(xy-x=x\left(y-1\right)\)

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

5.\(3x^{2y}-8xy^2\)hay là \(\left(3x\right)^{2y}-\left(8xy\right)^2\)??

6.\(6x-12xy-18x^2=6x\left(1-2y-3x\right)\)