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5) x⁶-2x⁵ +4x³- 8x²+ 5x-10;
6) a³b+ab²-abc³-a²c-bc+c⁴
5) x⁶-2x⁵ +4x³- 8x²+ 5x-10;
6) a³b+ab²-abc³-a²c-bc+c⁴
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Ответ:
1) x⁶-2x⁵ +4x³- 8x²+ 5x-10=х⁵×(х-2)+4х²×(х-2)+5×(х-2)=(х-2)×(х⁵+4х²+5)
2) a³b+ab²-abc³-a²c-bc+c⁴=ab×(a²+b-c³)-c(a²+b-c³)=(a²+b-c³)×(ab-c)