Question

Phân tích các đa thức sau thành nhân tử :

a) (x+y)(2x-y)+(2x-y)(3x-y)-(y-2x)

b) ab^3c^2-a^2b^2c^2+ab^2c^3-a^2bc

c)x^2(y-z)+y^2(z-x)+z^2(x-y)

d) 2x^3+3x^2+2x+3

e)x^3+x^2yz-x^2z^2-xyz^2

f) x^3+y(1-3x^2)+x(3y^2-1)-y^3

Answer 1

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

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

b: \(=abc\left(b^2c-abc+bc^2-a\right)\)

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