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

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

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

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

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

\(3x\left(x-7\right)+2xy-14y\)

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

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

#\(Toru\)

bạn có thể ghi rõ lại được ko ạ, bạn có thể thay dấu nhân bằng dấu chấm

Ta có: \(3x\left(x-1\right)^2-5x^2\left(x-1\right)-7\left(x-1\right)\)

\(=\left(x-1\right)\left[3x\left(x-1\right)-5x^2-7\right]\)

\(=\left(x-1\right)\left(3x^2-3x-5x^2-7\right)\)

\(=\left(x-1\right)\left(-2x^2-3x-7\right)\)

3x² - 3xy

= 3x ( x - y )

`3x^2 - 6x`

`= 3x.x-3x.2`

`=3x(x-2)`

(x-1)(3x-4x)

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

1A:

a: \(x^3+2x=x\left(x^2+2\right)\)

b: \(3x-6y=3\left(x-2y\right)\)

c: \(5\left(x+3y\right)-15x\left(x+3y\right)\)

\(=5\left(x+3y\right)\left(1-3x\right)\)

d: \(3\left(x-y\right)-5x\left(y-x\right)\)

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

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

1A. a. x(x²+2) 

b. 3(x-2y)

c. 5(x+3y)(1-3x) 

d. (x-y) (3-5x)

1B. a. 2x(2x-3)

b.xy(x²-2xy+5)

c. 2x(x+1)(x+2)

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

1B:

a: \(4x^2-6x=2x\left(2x-3\right)\)

b: \(x^3y-2x^2y^2+5xy\)

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

a. \(x^2\) - 9y²

= (\(x\))² - (3y)²

= (\(x\) - 3y)(\(x\) + 3y)

x² - 9y² = x² - (3y)²= (x - 3y)(x + 3y)

B. 7\(x\).(\(x\) - y) + 3\(x\) - 3y

= 7\(x\).(\(x\) -y) + 3.(\(x\) - y)

= (\(x\) - y)(7\(x\) + 3)

\(x^3y+x+y+1\\=(x^3y+y)+(x+1)\\=y(x^3+1)+(x+1)\\=y(x+1)(x^2-x+1)+(x+1)\\=(x+1)[y(x^2-x+1)+1]\\=(x+1)(x^2y-xy+y+1)\)