Разложите ** множители X^3-y^3-5x(x^2+xy+y^2)

Question

Разложите на множители
X^3-y^3-5x(x^2+xy+y^2)

Answer 1

X³-y³=(x-y)(x²+xy+y²)

x³-y³-5x(x²+xy+y²) =(x-y)(x²+xy+y²)-5x(x²+xy+y²)=

=(x²+xy+y²)(x-y-5x)=

=(x²+xy+y²)(-y-4x)=

=-((x²+xy+y²)(4x+y)