Question

Разложите на множители многочлен
10ac-5bc+2ax-bx =
6a²-6ab-7a+7b =
4x³-4x²y+x-y =
x⁴y-x³y-x+1=

Answer 1

10ac-5bc+2ax-bx =5с(2а-в)+х(2а-в)=(5с+х)(2а-в)
6a²-6ab-7a+7b =6а(а-в)-7(а-в)=(6а-7)(а-в)
4x³-4x²y+x-y =4х²(х-у)+1*(х-у)=(4х²+1)(х-у)
x⁴y-x³y-x+1=х³у(х-1)-1*(х-1)=(х³у-1)(х-1)