\(ax+bx+ay+by\)

\(=x\left(a+b\right)+y\left(a+b\right)\)

\(=\left(x+y\right)\left(a+b\right)\)

\(xy+1-x-y\)

\(=x\left(y-1\right)-\left(y-1\right)\)

\(=\left(x-1\right)\left(y-1\right)\)

\(x^2-y^2-5x-5y\)

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

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

đề như này thì phân tích kiểu gì bạn

a: 

Sửa đề: \(4x^2-4xy+y^2-25a^2+10a-1\)

\(=\left(2x-y\right)^2-\left(5a-1\right)^2\)

\(=\left(2x-y-5a+1\right)\left(2x-y+5a-1\right)\)

b: Sửa đề: \(ax^2+bx^2+2xy\left(a+b\right)+ay^2+by^2\) 

\(=ax^2+ay^2+2xya+bx^2+2xyb+by^2\)

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

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

a) A = ax - ay - bx + by 

A = a(x - y) - b(x - y)

A = (a - b)(x - y)

A = 1. (-2) = -2

B = 2ax + 2ay - 2bx - 2by

B = 2a(x + y) - 2b(x + y)

B = 2(x + y)(a - b)

B = 2. (-5).(-2) = 20

5.

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

\(=4x^3y^2(x+y)^2\)

9.

\(4x^5y^2+16x^4y^2-6x^3y^2=2x^3y^2(2x^2+4x-3)\)

13.

\(-3x^4y+6x^3y-3x^2y=-3x^2y(x^2-2x+1)=-3x^2y(x-1)^2\)

17.

\(8x^3-8x^2y+2xy^2=2x(4x^2-4xy+y^2)\)

\(=2x[(2x)^2-2.2x.y+y^2]=2x(2x-y)^2\)

21.

\((a^2+4)^2-16a^2b^2=(a^2+4)^2-(4ab)^2\)

\(=(a^2+4-4ab)(a^2+4+4ab)\)

25.

\(100a^2-(a^2+25)^2=(10a)^2-(a^2+25)^2\)

\(=(10a-a^2-25)(10a+a^2+25)\)

\(=-(a^2-10a+25)(a^2+10a+25)=-(a-5)^2(a+5)^2\)

29.

\(25a^2b^2-4x^2+4x-1=25a^2b^2-(4x^2-4x+1)\)

\(=(5ab)^2-(2x-1)^2=(5ab-2x+1)(5ab+2x-1)\)

33.

\(1-2m+m^2-x^2-4x-4=(m^2-2m+1)-(x^2+4x+4)\)

\(=(m-1)^2-(x+2)^2=[(m-1)-(x+2)][(m-1)+(x+2)]\)

\(=(m-x-3)(m+x+1)\)

37.

\(ax^2+bx^2+2xy(a+b)+ay^2+by^2\)

\(=x^2(a+b)+2xy(a+b)+y^2(a+b)\)

\(=(a+b)(x^2+2xy+y^2)=(a+b)(x+y)^2\)

41.

\(5a^2-5=5(a^2-1)=5(a^2-1^2)=5(a-1)(a+1)\)

ax - ay + bx - by= (ax - ay) + (bx - by)

                    = a(x - y) + b(x - y)

                    = (x - y)(a + b)

x² - 2xy + y² - 1= (x² - 2xy + y²) - 1² 

                             = (x - y)²  - 1² 

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

9 - x² - 2xy - y² = 3² - ( x² + 2xy + y² )

                         = 3² - ( x + y)² 

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

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

a) ax - 2x - a² + 2a

= ( ax - 2x ) - ( a² - 2a )

= x ( a - 2 ) - a ( a - 2 )

= ( a - 2 ) ( x - a )

b) x² + x - ax - a

= ( x² + x ) - ( ax + a )

= x ( x + 1 ) - a ( x + 1 )

= ( x + 1 ) ( x - a )

Hok Tốt!!!

a) ax -2x- a²+ 2a

= (ax -2x ) -(a² -2a )

= x(a-2) -a ( a-2 )

= (x-a) (a-2)

b) x² +x -ax -a

=( x² +x ) - ( ax +a )

= x( x+1 ) -a ( x+1 )

= ( x-a ) (x+ 1)

c) 2x² +4ax +x +2a

=( 2x² + 4ax )  + ( x+ 2a )

= 2x ( x+ 2a ) + ( x+2a )

= ( 2x +1 ) (x+2a )

d) 2xy -ax +x² - 2ay

= (2xy -2ay ) + (  -ax + x² )

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

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

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

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

b)    \(x^2+x-ax-a=\left(x^2+x\right)-\left(ax+a\right)\)

\(=x\left(x+1\right)-a\left(x+1\right)=\left(x-a\right)\left(x+1\right)\)

c) \(2x^2+4ax+x+2a=\left(2x^2+x\right)+\left(4ax+2a\right)\)

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

d)  \(2xy-ax+x^2-2ay=\left(2xy-2ay\right)+\left(x^2-ax\right)\)

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

Hok tốt

a/ \(ax-2x-a^2+2a\)

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

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

Vậy....

b/ \(x^2+x-ax-a\)

\(=x\left(x+1\right)-a\left(x+1\right)\)

\(=\left(x+1\right)\left(x-a\right)\)

Vậy...

d/ \(2xy-ax+x^2-2ay\)

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

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

e/ \(x^3+ax^2+x+a\)

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

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

Vậy...

\(x^2+2xy+y^2-xz-yz\)

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

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

mk chỉnh lại đề

\(x^2-2xy+y^2-z^2+2zt+t^2\)

\(=\left(x-y\right)^2-\left(z-t\right)^2\)

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

mk chỉnh lại đề:

\(ax^2+cx^2-ay+ay^2-cy+cy^2\)

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

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

\(ax^2+ay^2-bx^2-by^2+b-a\)

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

\(=\left(a-b\right)\left(x^2+y^2-1\right)\)

\(ac^2-ad-bc^2+cd+bd-c^3\)

\(=a\left(c^2-d\right)-b\left(c^2-d\right)-c\left(c^2-d\right)\)

\(=\left(c^2-d\right)\left(a-b-c\right)\)

trả lời giùm mình với