Представ вираз у вигляді многочлена.
a) (m – n)³ – (m - n)(m² + mn + n²);
б) (m + n)(m – mn + n) – (m +n).
a) (m – n)³ – (m - n)(m² + mn + n²);
б) (m + n)(m – mn + n) – (m +n).
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Ответ:
а)=m³-3m²n+3mn²-n³-(m³-n³)=m³-3m²n+3mn²-n³-m³+n³=-3m²n+3mn²
б)=m²-m²n+mn+mn-mn²+n²-m-n=m²-m²n+2mn-mn²+n²-m-n