2x - 2y - x² + 2xy - y²

= (2x - 2y) - (x² - 2xy + y²)

= 2(x - y) - (x - y)²

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

\(3x^3+3x^2-36x\)

\(=3x\left(x^2+x-12\right)\)

\(=3x\left(x+4\right)\cdot\left(x-3\right)\)

a: \(3x^3-75x\)

\(=3x\left(x^2-25\right)\)

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

b: \(x^4y^2-12x^3y^2+48x^2y^2-64xy^2\)

\(=xy^2\left(x^3-12x^2+48x-64\right)\)

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

a) \(x^4-4x^2-4x-1=\left(x^4-1\right)-4x\left(x+1\right)=\left(x^2+1\right)\left(x-1\right)\left(x+1\right)-4x\left(x+1\right)=\left(x+1\right)\left[\left(x^2+1\right)\left(x-1\right)-4x\right]=\left(x+1\right)\left(x^3-x^2+x-1-4x\right)=\left(x+1\right)\left(x^3-x^2-3x-1\right)\)

b) \(10x^4y^2-10x^3y^2-10x^2y^2+10xy^2=10xy^2\left(x^3-x^2-x+1\right)=10xy^2\left(x-1\right)^2\left(x+1\right)\)

a: \(x^4-4x^2-4x-1\)

\(=\left(x^4-1\right)-4x\left(x+1\right)\)

\(=\left(x-1\right)\left(x+1\right)\left(x^2+1\right)-4x\left(x+1\right)\)

\(=\left(x+1\right)\left(x^3+x-x^2-1-4x\right)\)

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

b: \(10x^4y^2-10x^3y^2-10x^2y^2+10xy^2\)

\(=10xy^2\left(x^3-x^2-x+1\right)\)

\(=10xy^2\cdot\left[\left(x+1\right)\left(x^2-x+1\right)-x\left(x+1\right)\right]\)

\(=10xy^2\cdot\left(x+1\right)\left(x-1\right)^2\)

\(1,x^2+5x-6=x^2-x+6x-6=x\left(x-1\right)+6\left(x-1\right)=\left(x-1\right)\left(x+6\right)\)

\(3,7x-6x^2-2=-6x^2+7x-2=-6x^2+3x+4x-2=3x\left(-2x+1\right)+2\left(2x-1\right)\)

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

\(2,5x^2+5xy-x-y=5x\left(x+y\right)-\left(x+y\right)=\left(x+y\right)\left(5x-1\right)\)

= (4y)^2 + 12ax - (3x)^2 - (2a)^2

= (4y-3x)^2 - (2a)^2

= (4y-3x-2a)(4y-3x+2a) 

\(x^3-x^2-x+1\)

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

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

a) \(5x^2y-20xy+20y=5y\left(x^2-4x+4\right)=5y\left(x-2\right)^2\)

b) \(3x^3+6x^2+3x=3x\left(x^2+2x+1\right)=3x\left(x+1\right)^2\)

c) \(3x^2y-12y=3y\left(x^2-4\right)=3y\left(x-2\right)\left(x+2\right)\)

d) \(7x^3-28x^2+28x=7x\left(x^2-4x+4\right)=7x\left(x-2\right)^2\)

a: \(5x^2y-20xy+20y\)

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

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

b: \(3x^3+6x^2+3x\)

\(=3x\left(x^2+2x+1\right)\)

\(=3x\left(x+1\right)^2\)

c: \(3x^2y-12y\)

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

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

d: \(7x^3-28x^2+28x\)

\(=7x\left(x^2-4x+4\right)\)

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

Thời gian có hạn copy cái này hộ mình vào google xem nha: :

Link :   https://lazi.vn/quiz/d/16491/nhac-edm-la-loai-nhac-the-loai-gi

Vào xem xong các bạn nhận được 1 thẻ cào mệnh giá 100k nhận thưởng bằng cách nhắn tin vs mình và 1 phần thưởng bí mật là chiếc áo đá bóng,....

Có 500 giải nhanh nha đã có 200 người nhận rồi

Nêu địa chỉ mình đến nhà trao giải

Bạn vào đi có thưởng đó

c) \(5x^2+3y+15x+xy=5x\left(x+3\right)+y\left(x+3\right)=\left(x+3\right)\left(5x+y\right)\)

d) \(x^2+6x+9-y^2=\left(x+3\right)^2-y^2=\left(x+3-y\right)\left(x+3+y\right)\)

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

f) \(x^2-2xy-9+y^2=\left(x^2-2xy+y^2\right)-9=\left(x-y\right)^2-3^2=\left(x-y-3\right)\left(x-y+3\right)\)

c: \(5x^2+15x+3y+xy\)

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

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

d: \(x^2+6x+9-y^2\)

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

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

e: \(x^2+2x+1-y^2\)

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

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

f: \(x^2-2xy+y^2-9\)

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

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