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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)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)15x^2y-20xy^2-25xy=5xy(3x^2-4y-5)
b) x^2-9-2xy+y^2=(x^2-2xy+y^2)-9=(x-y)^2-3^2=(x-y-3)(x-y+3)
c)2x^2-5x-7=2x^2 -7x+2x-7 = x(2x-7)+(2x-7) =(2x-7)(x+1)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có: \(4x^2-28xy+49y^2\)
\(=\left(2x\right)^2-2\cdot2x\cdot7y+\left(7y\right)^2\)
\(=\left(2x-7y\right)^2\)
b) Ta có: \(x^2+8xy+16y^2\)
\(=x^2+2\cdot x\cdot4y+\left(4y\right)^2\)
\(=\left(x+4y\right)^2\)
c) Ta có: \(x^2-12x+36\)
\(=x^2-2\cdot x\cdot6+6^2\)
\(=\left(x-6\right)^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
6) \(9x^3y^2+3x^2y^2=3x^2y^2\left(3x+1\right)\)
7) \(x^3+2x^2+3x=x\left(x^2+2x+3\right)\)
8) \(6x^2y+4xy^2+2xy=2xy\left(3x+2y+1\right)\)
9) \(5x^2\left(x-2y\right)-15x\left(x-2y\right)=5x\left(x-2y\right)\left(x-3\right)\)
10) \(3\left(x-y\right)-5x\left(y-x\right)=\left(x-y\right)\left(3+5x\right)\)
6) 9x3y2 + 3x2y2 = 3x2y2( 3x + 1 )
7) x3 + 2x2 + 3x = x( x2 + 2x + 3 )
8) 6x2y + 4xy2 + 2xy = 2xy( 3x + 2y + 1 )
9) 5x2( x - 2y ) - 15x( x - 2y ) = 5x( x - 2y )( x - 3 )
10 3( x - y ) - 5x( y - x ) = 3( x - y ) + 5x( x - y ) = ( x - y )( 3 + 5x )
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
\(2x^2y-8xy^2\\ =2xy\left(x-4y\right)\)
b)
\(x^2-2xy+y^2-16\\ =\left(x^2-2xy+y^2\right)-16\\ =\left(x-y\right)^2-16\\ =\left(x-y-4\right)\left(x-y+4\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có: \(x^2-2xy+y^2-2x+2y\)
\(=\left(x-y\right)^2-2\left(x-y\right)\)
\(=\left(x-y\right)\left(x-y-2\right)\)
b) Ta có: \(x^2-4x+4-x^2y+2xy\)
\(=\left(x-2\right)^2-xy\left(x-2\right)\)
\(=\left(x-2\right)\left(x-2-xy\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(x^2-x=\left(x+1\right).x\)
b) \(5x^2.\left(x-2y\right)-15x.\left(x-2y\right)=\left(x-2y\right).\left(5x^2-15x\right)\)= \(\left(x-2y\right).5x.\left(x-3\right)\)
c) \(3.\left(x-y\right)-5x.\left(y-x\right)=3\left(x-y\right)+5x\left(x-y\right)\)= \(\left(x-y\right).\left(3+5x\right)\)
a) \(x^2-x=x\left(x-1\right)\)
b) \(5x^2\left(x-2y\right)-15x\left(x-2y\right)\)\(=\left(x-2y\right)\left(5x^2-15x\right)\)\(=\left(x-2y\right).5x\left(x-3\right)\)
c) \(3\left(x-y\right)-5x\left(y-x\right)\)\(=3\left(x-y\right)+5x\left(x-y\right)\)\(=\left(3+5x\right)\left(x-y\right)\)
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a, \(\frac{5}{2}x^2y^2+15x^2y-30xy^2=5xy\left(\frac{1}{2}xy+3x-6y\right)\)
b, \(16x^2+24x-8xy-6y+y^2\)
\(=\left(16x^2-8xy+y^2\right)+\left(24x-6y\right)=\left(4x-y\right)^2+6\left(4x-y\right)\)
\(=\left(4x-y\right)\left[\left(4x-y\right)+6\right]=\left(4x-y\right)\left(4x-y+6\right)\)
c, \(2x^2-5x-7=2x^2-7x+2x-7\)
\(=2x\left(x+1\right)-7\left(x+1\right)=\left(2x-7\right)\left(x+1\right)\)