Question

ptich đa thức thành nhân tử

2x^3 + x^2 - 4x - 12

x^2-5x+5y-y^2

3x^2 - 6xy + 3y^2 - 12z^2

x^2-4x-5

(x^2+1)^2 - 4x^2

x^2 + 4x + 3

 

Answer 1

a: \(=2x^3-4x^2+5x^2-10x+6x-12\)

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

b: \(=\left(x-y\right)\left(x+y\right)-5\left(x-y\right)=\left(x-y\right)\left(x+y-5\right)\)

c: \(=3\left(x^2-2xy+y^2-4z^2\right)\)

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

d: \(=\left(x-5\right)\left(x+1\right)\)

e: \(=\left(x^2-1\right)^2\)

f: =(x+1)(x+3)