Ta có: 

\(2x^2-2y^2-5x+5y\)

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

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

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

2x² - 2y² -5x + 5y

= 2.(x² -y²)  - 5.(x-y)

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

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

Ta có:

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

\(\Rightarrow5x^2+3.\left(x^2+2xy+y^2\right)-5y^2\)

\(\Rightarrow5x^2+3x^2+6xy+3y^2-5y^2\)

\(\Rightarrow8x^2+6xy-2y^2\)

Ta có :\(5x^2+3\left(x+y\right)^2-5y^2\)

\(\Rightarrow5x^2+3.\left(x^2-2xy-y^2\right)-5y^2\)

\(\Rightarrow5x^2+3x^2+6xy+3y^2-5y^2\)

\(\Rightarrow8x^2+6xy-2y^2\)

TK CHO MK NHA

Chúc Bạn Học Tốt :):):):)

sai het rui

3x² - 7x - 10

= 3x² + 3x - 10x - 10

= (3x² + 3x) - (10x + 10)

= 3x(x + 1) - 10(x + 1)

= (3x - 10)(x + 1)

5x³ - 5x²y - 10x² + 10xy

= 5x(x² - xy - 2x + 2y)

= 5x[(x² - xy) - (2x - 2y)]

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

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

chúc bn hok tốt

nhớ ủng hộ tik cho mik nhé! ko lần sau mik ko giúp đâu

có j ko hiểu thì bn cứ bình luận ở dưới nhé

Đây là 1 hay 2 phần z bn

Trình bày cái đề cho đàng hoàng giúp.

Bạn học căn thức chưa ?

phan tich cac da thuc sau thanh nhan tu theo mau:

a)\(2x^3-x\)

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

\(=x\left(\left(\sqrt{2}x\right)^2-1^2\right)\)\

\(=x\left(\sqrt{2}x-1\right)\left(\sqrt{2}x+1\right)\)

b)\(5x^2\left(x-1\right)-15x\left(x-1\right)\)

\(=\left(5x^2-15x\right)\left(x-1\right)\)

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

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

\(=3x\left(x-2y\right)-6y\left(x-2y\right)\)

\(=\left(3x-6y\right)\left(x-2y\right)\)

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

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

a: \(=x\left[49-x^2\left(2x+1\right)^2\right]\)

\(=x\left[49-\left(2x^2+x\right)^2\right]\)

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

b: \(=5\left[25x^2-\left(y^2-4y+4\right)\right]\)

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

c: \(=1-4x^2-x\left(x^2-4\right)\)

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

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

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

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

e: =(x-9)(x+6)

1.  =2(x²-2xy+y^2-16)

     =2((x-y)²-4²)

     =2(x-y-4)(x-y+4)

2.   =5(x²-2.1/10.x+1/100-y²+2.1/10y-1/100)

      =5.((X-1/10)²-(Y-1/10)²)

      =5(X-1/10-Y+1/10)(X-1/10+Y-1/10)

      =5(X-Y)(X+Y-2/10)

3.   =(X²-9XY+81/4Y²)-1/4Y²

      =(X-9/2Y)^2-1/4Y^2

     =(X-9/2Y-1/2Y)(X-9/2Y+1/2Y)

     (X-5Y)(X-4Y)