If a + b + c = 0, then write the value of a³+b³+c³.

1

Factorize: x⁴+x²+25.

2

Factorize: x²-1-2a–a².

4

Ifa²+b²+c²=20,anda+b+c=0,findab+bc+ca.

5

If a + b + c = 9 and ab + bc + ca = 40, find a² + b² + c².