Разложите ** можители: 1) x^3 - 1 = 2) 27 + a^3 = 3) 216 - y^3 = 4) a^6 - 8 = 5)...

Question

Разложите на можители:
1) x^3 - 1 =
2) 27 + a^3 =
3) 216 - y^3 =
4) a^6 - 8 =
5) a^3b^3 - c^3 =

Answer 1

1) x³-1=(x-1)(x²+x+1).
2) 27+a³=(3+a)(9-3a+a²).
3) 216-y³=(6-y)(36+6y+y²).
4) a⁶-8= (a²-2)(a⁴+2a²+4).
5) a³b³-c³=(ab-c)(a²b²+abc+c²).