Разложи ** множители x^3+6x^2−5x−30 uz^5+uy^5−yz^5−y^6

Question

Разложи на множители x^3+6x^2−5x−30
uz^5+uy^5−yz^5−y^6

Answer 1

Х³+6х²-5х-30=(х³+6х²)-(5х+30)=х²(х+6)-5(х+6)=(х+6)(х²-5)

uz⁵+uy⁵-yz⁵-y⁶=(uz⁵+uy⁵)-(yz⁵+y⁶)=u(z⁵+y⁵)-y(z⁵+y⁵)=(z⁵+y⁵)(u+y)