\(2ax-bx+3cx-2a+b-3c\\ =x\left(2a-b+3c\right)-\left(2a-b+3c\right)\\ =\left(x-1\right)\left(2a-b+3c\right)\)

\(ax-bx-2cx-2a+2b+4c\\ =x\left(a-b-2c\right)-2\left(a-b-2c\right)\\ =\left(x-2\right)\left(a-b-2c\right)\)

\(3ax^2+3bx^2+ax+bx+5a+5b\\ =3x^2\left(a+b\right)+x\left(a+b\right)+5\left(a+b\right)\\ =\left(3x^2+x+5\right)\left(a+b\right)\)

\(ax^2-bx^2-2ax+2bx-3a+3b\\ =x^2\left(a-b\right)-2x\left(a-b\right)-3\left(a+b\right)\\ =\left(x^2-2x-3\right)\left(a+b\right)\\ =\left(x+1\right)\left(x-3\right)\left(a+b\right)\)

\(\text{a) x}^4+2x^2+1=\left(x^2+1\right)^2\)

\(\text{b) 3}ax^2+3bx^2+ãx+bx+5a+5b=\left(3ax^2+3bx^2\right) +\left(ax+bx\right)+\left(5a+5b\right)=3x^2+x\left(a+b\right)+5\left(a+b\right)=\left(a+b\right)\left(3x^2+x+5\right)\)

\(\text{c) a}x^2-bx^2-2ax+2bx-3a+3b=\left(\text{a}x^2-bx^2\right)-\left(2ax-2bx\right)-\left(3a-3b\right)=x^2\left(a-b\right)-2x\left(a-b\right)-3\left(a-b\right)=\left(x^2-2x-3\right)\left(a-b\right)\)

a) \(x^4+2x^2+1\)

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

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

b) \(3ax^2+3bx^2+ax+bx+5a+5b\)

\(=3x^2\left(a+b\right)+x\left(a+b\right)+5\left(a+b\right)\)

\(=\left(a+b\right)\left(3x^2+x+5\right)\)

c) \(ax^2-bx^2-2ax+2bx-3a+3b\)

\(=x^2\left(a-b\right)-2x\left(a-b\right)-3\left(a-b\right)\)

\(=\left(a-b\right)\left(x^2-2x-3\right)\)

\(=\left(a-b\right)\left(x-3\right)\left(x+1\right)\)

Câu d mình chịu

\(1,2x^2-6xy+5x-15y\)

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

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

\(2,ax^{2\:}-3axy+bx-3by\)

\(=ax\left(x-3y\right)+b\left(x-3y\right)\)

\(=\left(x-3y\right)\left(ax+b\right)\)

\(3,5ax^2-3axy+3ay^2-3axy\) ( Đề sai )

Sửa : \(3ax^2-3axy+3ay^2-3axy\)

\(=3ax\left(x-y\right)+3ay\left(y-x\right)\)

\(=3ax\left(x-y\right)-3ay\left(x-y\right)\)

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

\(4,4acx+4bcx+4ax+4bx\)

\(=4cx\left(a+b\right)+4x\left(a+b\right)\)

\(=4x\left(a+b\right)\left(c+1\right)\)

\(6,ax^{2\:}y-bx^2y-ax+bx+2a-2b\)

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

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

\(7,ax^{2\:}-bx^2-2ax+2bx-3a+3b\)

\(=x^2\left(a-b\right)-2x\left(a-b\right)-3\left(a-b\right)\)

\(=\left(a-b\right)\left(x^2-2x-3\right)\)

\(8,ax^{2\:}-5x^2-ax+5x+a-5\)

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

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

\(9,ax+bx+cx-2a-2b+2c\) Đề sai

Sửa :\(ax+bx+cx-2a-2b-2c\)

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

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

\(10,2ax-bx+3cx-2a+b-3c\)

\(=\left(2ax-2a\right)-\left(bx-b\right)+\left(3cx-3c\right)\)

\(=2a\left(x-1\right)-b\left(x-1\right)+3c\left(x-1\right)\)

\(=\left(x-1\right)\left(2a-b+3c\right)\)

Mấy câu đề sai mk sửa chỗ nào ko đúng thì nói mk nha !

Bn viet bây à

Giúp mik đi

1, x(a-b)+a-b          2, x-y-a(x-y)            3, a(x+y)-x-y               4, x(a-b)-a+b         5, x²+xy-2x-2y            6, 10ax-5ay+2x-y

= x(a-b)+(a-b)           =(x-y)-a(x-y)             =a(x+y)-(x+y)             =x(a-b)-(a-b)         =(x²+xy)-(2x+2y)        =(10ax+2x)-(5ay+y)

=(a-b)(x+1)               =(x-y)(1-a)                =(x+y)(a-1)                 =(a-b)(x-1)            =x(x+y)-2(x+y)            =2x(5a+1)-y(5a+1)

                                                                                                                                  =(x+y)(x-2)                  =(5a+1)(2x-y)

7, 2a²x-5by-5a²y+2bx           8, 2ax²-bx²-2ax+bx+4a-2b             9, 2ax-bx+3cx-2a+b-3c                     10, ax-bx-2cx-2a+2b+4c

=(2a²x+2bx)-(5by+5a²y)           =(2ax²-bx²)-(2ax-bx)+(4a-2b)        =(2ax-2a)-(bx-b)+(3cx-3c)                  =(ax-2a)-(bx-2b)-(2cx-4c)

=2x(a²+b)-5y(b+a²)                   =x²(2a-b)-x(2a-b)+2(2a-b)             =2a(x-1)-b(x-1)+3c(x-1)                      =a(x-2)-b(x-2)-2c(x-2)

=(a²+b)(2x-5y)                           =(2a-b)(x²-x+2)                              =(x-1)(2a-b+3c)                                  =(x-2)(a-b-2c)

\(ax^2-3axy+bx-3by\\ =x\left(ax+b\right)-3y\left(ax+b\right)\\ =\left(x-3y\right)\left(ax+b\right)\)

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

\(2ax^3+6ax^2+6ax+18a\\ =2ax^2\left(x+3\right)+6a\left(x+3\right)\\ =2a\left(x^2+3\right)\left(x+3\right)\)

\(10xy^2-5by^2+2ax-ab\\ =5y^2\left(2x-b\right)+a\left(2x-b\right)\\ =\left(5y^2+a\right)\left(2x-b\right)\)

\(ax-bx+cx-3a+3b-3c\\ =x\left(a-b+c\right)-3\left(a-b+c\right)\\ =\left(x-3\right)\left(a-b+c\right)\)

a, x(a - b) + (a - b)

= (x + 1)(a - b)

b, x(a + b) - a - b

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

= (x - 1)(a + b)

c, 10ax - 5ay - 2x + y

=  5a(2x - y) - (2x - y)

= (5a - 1)(2x - y)

d, 2a^2x - 5by - 5a^2y + 2bx

= 2x(a^2 + b) - 5y(b + a^2)

= (2a - 5y)(a^2 + b)

làm tiếp:

2ax² - bx² - 2ax +bx +4a-2b

= x²(2a-b) - x(2a-b) +2(2a-b)

=(2a-b)(x²-x+2)

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

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

3)\(10ax-5ay-2x+y=\left(10ax-5ay\right)-\left(2x-y\right)=5a\left(2x-y\right)-\left(2x-y\right)=\left(2x-y\right)\left(5a-1\right)\)

4)\(2a^2x-5by-5a^2y+2bx=\left(2a^2x-5a^2y\right)+\left(2bx-5by\right)=a^2\left(2x-5y\right)+b\left(2x-5y\right)=\left(2x-5y\right)\left(a^2+b\right)\)5)\(2ax^2-bx^2-2ax+bx+4a-2b=\left(2ax^2-bx^2\right)-\left(2ax-bx\right)+\left(4a-2b\right)=x^2\left(2a-b\right)-x\left(2a-b\right)+2\left(2a-b\right)\)\(=\left(2a-b\right)\left(x^2-x+2\right)\)

a) \(a^2+b^2+2ab+2a+2b+1=\left(a^2+2ab+b^2\right)+\left(2a+2b\right)+1\)

\(=\left(a+b\right)^2+2\left(a+b\right)+1=\left[\left(a+b\right)+1\right]^2=\left(a+b+1\right)^2\)

b) K phân tích dc.

giúp với ạ

a) \(x^2-6x-y^2+9\)

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

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

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

b) \(9-x^2+2xy-y^2\)

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

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

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

c) \(ax-ay+bx-by\)

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

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