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August 2021
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(a-b)^3+(b-c)^3-(a-c)^3 разложить на множетели
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chehov7400
(а-в)³+(в-с)³-(а-с)³= а³-3а²в+3ав²-в³+в³-3в²с+3вс²-с³-а³+3а²с-3ас²+с³=
= -3а²в+3ав²-3в²с+3вс²+3а²с-3ас²=-3(а²в-ав²+в²с-вс²-а²с+ас²)
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= -3а²в+3ав²-3в²с+3вс²+3а²с-3ас²=-3(а²в-ав²+в²с-вс²-а²с+ас²)