a) 2x³ + 6xy - x²z - 3yz

= ( 2x³ + 6xy ) - ( x²z + 3yz )

= 2x( x² + 3y ) - z( x² + 3y )

= ( x² + 3y )( 2x - z )

b) x² - 6xy + 9y² - 49

= ( x² - 6xy + 9y² ) - 49

= ( x - 3y )² - 7²

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

c) x³ + 4x² + 16x + 64

= ( x³ + 4x² ) + ( 16x + 64 )

= x²( x + 4 ) + 16( x + 4 ) 

= ( x + 4 )( x² + 16 )

a) =(2x^3-x^2z)+(6xy-3yz)

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

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

b) =(x^2-6xy+9y^2)-7^2

=(x-3y)^2-7^2

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

c) =(x^3+4x^2)+(16x+64)

=x^2(x+4)+16(x+4)

=(x^2+16)(x+4)

=[x²-6xy+(3y)²-49]

=[(x-3y)²-7²]

=(x-3y-7)*(x+3y+7)

= x^2 - 6xy + 9y^2 - 49

= x^2 - 6xy + ( 3y )^2 - 49

= (x - 3y)^2 - 7^2

= (x - 3y -7)( x-3y +7) tk cho mk nha

\(x^2-49-6xy+9y^2\)

\(=\left(x^2-6xy+9y^2\right)-7^2\)

\(=\left(x-3y\right)^2-7^2\)

\(=\left(x-3y-7\right)\left(x-3y+7\right)\)

k mk nha ^_^

a: \(=a\left(y^2-2yz+z^2\right)\)

\(=a\left(y-z\right)^2\)

b: \(=\left(x^2+6xy+9y^2\right)-16\)

=(x+3y)^2-16

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

c: \(=7\left(a-b\right)+\left(a-b\right)\left(a+b\right)\)

=(a-b)(7+a+b)

d: \(36x^4-13x^2\)

=x^2*36x^2-x^2*13

=x^2(36x^2-13)

f: x^2-2xy+y^2-49

=(x-y)^2-49

=(x-y-7)(x-y+7)

e: 2x^3-18x

=2x(x^2-9)

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

g: 2x+2y-x^2-xy

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

=(x+y)(2-x)

h: (x^2+3)^2+16

=x^4+6x^2+25

=x^4+10x^2+25-4x^2

=(x^2+5)^2-4x^2

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

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

b. \(x^2-6xy+9y^2-36=\left(x-3y\right)^2-6^2=\left(x-3y-6\right)\left(x-3y+6\right)\)

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

b: \(x^2-6xy+9y^2-36=\left(x-3y\right)^2-6^2=\left(x-3y-6\right)\left(x-3y+6\right)\)

x²-6xy+9y²-36 =(x²-6xy+9y²)-36 =(x-3y)²-6² =(x-3y+6)(x-3y-6)

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

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

c: =5x(x^2-2xy+y^2)

=5x(x-y)^2

d: =(x-3)^2

e: =(2y-z)(4x+7y)

a)HĐT:(x^2+1-x)(x^2+1+x)

b)=x^2-2.x.3y+(3y)^2

c)=5x(x^2-2xy+y^2)

=5x(x-y)^2

d)x^2-2.3.x+3^2

=(x-3)^2

e)(2y-z)+7y(2y-z)

=(2y-z)(1+7y)

a) Ta có: \(x^2y^2-x^2+6xy-9y^2\)

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

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

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

b) Ta có: \(9-x^2+2xy-y^2\)

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

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

\(=\left(9-x+y\right)\left(9+x-y\right)\)

\(x^4+6x^3+13x^2+12x+4\)

\(=x^4+x^3+5x^3+5x^2+8x^2+8x+4x+4\)

\(=x^3\left(x+1\right)+5x^2\left(x+1\right)+8x\left(x+1\right)+4\left(x+1\right)\)

\(=\left(x+1\right)\left(x^3+5x^2+8x+4\right)\)

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

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

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

x^2+6xy+9y^2-3x-9y+2

=( x^2+6xy+9y^2)-3(x+3y)+9/4 -1/4

=(x+3y)^2-3(x+3y)+(3/2)^2- 1/4

=(x+3y+3/2)^2-(1/2)^2

=(x+3y+3/2+1/2)(x+3y+3/2-1/2)=(x+3y+2)(x+3y+1)