a) Xem lại đề

b) x³ - 4x²y + 4xy² - 9x

= x(x² - 4xy + 4y² - 9)

= x[(x² - 4xy + 4y² - 3²]

= x[(x - 2y)² - 3²]

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

c) x³ - y³ + x - y

= (x³ - y³) + (x - y)

= (x - y)(x² + xy + y²) + (x - y)

= (x - y)(x² + xy + y² + 1)

d) 4x² - 4xy + 2x - y + y²

= (4x² - 4xy + y²) + (2x - y)

= (2x - y)² + (2x - y)

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

e) 9x² - 3x + 2y - 4y²

= (9x² - 4y²) - (3x - 2y)

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

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

f) 3x² - 6xy + 3y² - 5x + 5y

= (3x² - 6xy + 3y²) - (5x - 5y)

= 3(x² - 2xy + y²) - 5(x - y)

= 3(x - y)² - 5(x - y)

= (x - y)[(3(x - y) - 5]

= (x - y)(3x - 3y - 5)

a)

3x³y²+6x²y⁴=3x²y²*(x+y²)

b)

16-4x²=4*(4-x²)

c)

xy+xz+5x+5y=(xy+5y)+(xz+5x)

                   =y*(x+5)+x*(z+5)

                  =(x+5+z+5)*(y+x)

                  =5*(x+z)*(x+y)

làm ơn giúp e vs

\(1,=\left(x-2\right)\left(5-y\right)\\ 2,=2\left(x-y\right)^2-z\left(x-y\right)=\left(x-y\right)\left(2x-2y-z\right)\\ 3,=5xy\left(x-2y\right)\\ 4,=3\left(x^2-2xy+y^2-4z^2\right)=3\left[\left(x-y\right)^2-4z^2\right]\\ =3\left(x-y-2z\right)\left(x-y+2z\right)\\ 5,=\left(x+2y\right)^2-16=\left(x+2y-4\right)\left(x+2y+4\right)\\ 6,=-\left(6x^2-3x-4x+2\right)=-\left(2x-1\right)\left(3x-2\right)\\ 7,=\left(2x+y\right)\left(2x+y+x\right)=\left(2x+y\right)\left(3x+y\right)\\ 8,=\left(x-y\right)\left(x+5\right)\\ 9,=\left(x+1\right)^2-y^2=\left(x-y+1\right)\left(x+y+1\right)\\ 10,=\left(x^2-9\right)x=x\left(x-3\right)\left(x+3\right)\\ 11,=\left(x-2\right)\left(y+1\right)\\ 12,=\left(x-3\right)\left(x^2-4\right)=\left(x-3\right)\left(x-2\right)\left(x+2\right)\\ 13,=3\left(x+y\right)-\left(x+y\right)^2=\left(x+y\right)\left(3-x-y\right)\)

21, \(x^3-4x^2+4x=x\left(x^2-4x+4\right)=x\left(x-2\right)^2\)

22, \(15x^2y+20xy^2-25xy=5xy\left(3x+4y-5\right)\)

23, \(4x^2+8xy-3x-6y=4x\left(x+2y\right)-3\left(x+2y\right)=\left(4x-3\right)\left(x+2y\right)\)

24, \(x^3-6x^2+9x=x\left(x^2-6x+9\right)=x\left(x-3\right)^2\)

Tương tự :)) 

21.\(x^3-4x^2+4x\)

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

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

22,\(15x^2y+20xy^2-25xy\)

\(=5xy\left(3x+4y-5\right)\)

23,\(4x^2+8xy-3x-6y\)

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

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

24\(x^3-6x^2+9x\)

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

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

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

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

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

26.\(xy-2x-y^2+2y\)

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

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

27,\(x^2+x-xy-y\)

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

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

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

28,\(x^2+4x-y^2+4\)

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

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

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

29.\(x^2-2xy+y^2-4\)

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

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

`@` `\text {Ans}`

`\downarrow`

`x^2 + xy - 2x - 2y`

`= (x^2 - 2x) + (xy - 2y)`

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

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

____

`x^2 - xy - 6x + 6y`

`= (x^2 - 6x) - (xy - 6y)`

`= x(x - 6) - y(x - 6)`

`= (x - y)(x - 6)`

____

`5xy^2 - 5x + y^2 - 1`

`= (5xy^2 + y^2) - (5x + 1)`

`= y^2(5x + 1) - (5x + 1)`

`= (y^2 - 1)(5x + 1)`

`= (y - 1)(y + 1)(5x + 1)`

a: =(x^2+xy)-(2x+2y)

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

=(x+y)(x-2)

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

=x(x-y)-6(x-y)

=(x-y)(x-6)

c: =5xy^2+y^2-5x-1

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

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

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

1) 2x + 2y - x(x+y)

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

= (2 - x)(x + y)

2/ 5x² - 5xy -10x + 10y

= 5x(x - y) - 10(x - y)

= (5x - 10(x - y)

3/ 4x² + 8xy - 3x - 6y

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

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

1) 2x + 2y - x(x + y) 

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

= (2 - x)(x + y)

2) 5x² - 5xy - 10x + 10y 

= 5x(x - y) - 10(x - y)

= (5x - 10)(x - y)

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

3) 4x² + 8xy - 3x - 6y  

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

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

4) 2x² + 2y² - x²z + z - y²z - 2 

= 2(x² + y² - z(x² + y²) - (2 - z)

= (2 - z)(x² + y²) - (2 - z)

= (2 - z)(x² + y²)

5) x² + xy - 5x - 5y

= x(x + y) - 5(x + y)

= (x - 5)(x + y)

6) x(2x - 7) - 4x + 14 

= x(2x - 7) - 2(2x - 7) 

= (x - 2)(2x - 7)

7)x² - 3x + xy - 3y  

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

= (x - 3)(x + y)

5/ x² + xy - 5x - 5y 

= x(x + y) - 5(x + y)

= (x - 5)(x + y)

6/ x(2x - 7) - 4x + 14

= 2x² - 7x - 4x + 14

= (2x² - 4x) - (7x - 14)

= 2x(x - 2) -7(x - 2)

= (2x - 7)(x - 2)

7/ x² - 3x + xy - 3y

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

= (x + y)(x - 3) 

\(4x^2+8xy-3x-6y=4x\left(x+2y\right)-3\left(x+2y\right)=\left(4x-3\right)\left(x+2y\right)\)

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

\(x^3-5x^2-14x=x\left(x^2-5x-14\right)=x\left(x^2-7x+2x-14\right)=x\left[x\left(x-7\right)+2\left(x-7\right)\right]=x\left(x-7\right)\left(x+2\right)\)

\(x^4+4y^4=\left(x^2\right)^2+2\times x^2\times2y^2+\left(2y^2\right)^2-4x^2y^2=\left(x^2+2y^2\right)^2-\left(2xy\right)^2=\left(x^2-2xy+2y^2\right)\left(x^2+2xy+2y^2\right)\)

1. C. \(16x^2\left(x-y\right)\)\(-10y\left(y-1\right)\)\(=-2\left(y-x\right)\)\(\left(8x^2+5y\right)\)

2. C. \(\left(x-y\right)\left(x-y-3\right)\)

3. D. \(\left(x-2\right)\left(x+1\right)\)

4. C. \(y\left(x-2\right)\)\(5x\left(x-3\right)\)

5. D. \(3\left(x-2y\right)\)

1. Trong các kết quả sau kết quả nào sai

A. -17x^3y-34x^2y^2+51xy^3=17xy(x^2+2xy-3y^2)

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

C. 16x^2(x-y)-10y(y-1)=-2(y-x)(8x^2+5y)

2. Đa thức (x-y)^2+3(y-x) được phân tích thành nhân tử là:

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

B. (x-y)(2x-2y+3)

C. (x-y)(x-y-3)

D. Cả 3 câu đều sai

3. Kết quả phân tích đa thức x(x-2)+(x-2) thành nhân tử

A. (x-2)x

B. (x-2)^2.x

C. x(2x-4)

D. (x-2)(x+1)

4. Kết quả phân tích 5x^2(xy-2y)-15x(xy-2y) thành nhân tử

A. (xy-2y)(5x^2-15x^2)

B. y(x-2)(5x^2-15x^2)

C. y(x-2)5x(x-3)

D. (xy-2y)5x(x-3)

5. Kết quả phân tích đa thức 3x-6y thành nhân tử là

A. 3(x-6y)

B. 3(3x-y)

C. 3(3x-2y)

D. 3(x-2y)

1. Trong các kết quả sau kết quả nào sai

A. -17x^3y-34x^2y^2+51xy^3=17xy(x^2+2xy-3y^2)

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

C. 16x^2(x-y)-10y(y-1)=-2(y-x)(8x^2+5y)

2. Đa thức (x-y)^2+3(y-x) được phân tích thành nhân tử là:

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

B. (x-y)(2x-2y+3)

C. (x-y)(x-y-3)

D. Cả 3 câu đều sai

3. Kết quả phân tích đa thức x(x-2)+(x-2) thành nhân tử

A. (x-2)x

B. (x-2)^2.x

C. x(2x-4)

D. (x-2)(x+1)

4. Kết quả phân tích 5x^2(xy-2y)-15x(xy-2y) thành nhân tử

A. (xy-2y)(5x^2-15x^2)

B. y(x-2)(5x^2-15x^2)

C. y(x-2)5x(x-3)

D. (xy-2y)5x(x-3)

5. Kết quả phân tích đa thức 3x-6y thành nhân tử là

A. 3(x-6y)

B. 3(3x-y)

C. 3(3x-2y)

D. 3(x-2y)