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

\(=\left[\left(4x^2\right)^2-1^2\right]\left(x-y\right)\)

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

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

a) \(x^2-x-y^2-y\)

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

b) \(x^2-2xy+y^2-z^2\)

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

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

Mik tl nhanh nhất đấy

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

x^2 - 2xy + y^2 - z^2 

=(x-y)²-z²

=(x-y-z)(x-y+z)

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

1: =(16x^2-8x+1)-y^2

=(4x-1)^2-y^2

=(4x-1-y)(4x-1+y)

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

=(x-y)^2-z^2

=(x-y-z)(x-y+z)

3: =(x^2+4xy+4y^2)-16

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

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

4: =(x^2-4xy+4y^2)-16

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

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

x^2 - 2xy + y^2 - z^2 

=(x-y)²-z²

=(x-y-z)(x-y+z)

a. 16xy² - 12xy + 24x²y

= 4xy(4y - 3 + 6x)

c. 16 - x² + 2xy - y²

= 4² - (x² - 2xy + y²)

= 4² - (x - y)²

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

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

d: \(x^2-x-20=\left(x-5\right)\left(x+4\right)\)