Question

Разложите на множители
n(m-n)^2-(n-m)^3
a(a-c)^2-c(a-c)(c-a)

Answer 1

n(m-n)²-(n-m)³=n(n-m)²-(n-m)²(n-m)=(n-m)²(n-n+m)=m(n-m)²

a(a-c)²-c(a-c)(c-a)=a(a-c)²+c(a-c)(a-c)=a(a-c)²+c(a-c)²=(a+c)(a-c)²