6.19. Сократите дробь. СРОЧНО!!! ДАЮ 100 БАЛЛОВ!!!!
[tex]1) \frac{ {x}^{6} + {x}^{4} }{ {x}^{4} + {x}^{2} } \\ 2) \frac{ {x}^{6 } - {x}^{8} }{ {x}^{4} - {x}^{2} } \\ 3) \frac{ {m}^{7} - {m}^{10} }{ {m}^{9} - {m}^{3} } \\ 4) \frac{ {a}^{6} - {a}^{4} }{ {a}^{3} + {a}^{2} } [/tex]
[tex]1) \frac{ {x}^{6} + {x}^{4} }{ {x}^{4} + {x}^{2} } \\ 2) \frac{ {x}^{6 } - {x}^{8} }{ {x}^{4} - {x}^{2} } \\ 3) \frac{ {m}^{7} - {m}^{10} }{ {m}^{9} - {m}^{3} } \\ 4) \frac{ {a}^{6} - {a}^{4} }{ {a}^{3} + {a}^{2} } [/tex]
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Ответ:
Пошаговое объяснение:
1) (х⁶+х⁴)/(х⁴+х²)=х⁴(х²+1)/(х²(х²+1))=х²;
2) (х⁶-х⁸)/(х⁴-х²)=х⁶(1-х²)/(х²(х²-1))= - х⁴(х²-1)/(х²-1)=х⁴;
3) (m⁷-m¹⁰)/(m⁹-m³)=m⁷(1-m³)/(m³(m⁶-1))= - m⁴(m³-1)/((m³-1)(m³+1))=
- m⁴/(m³+1));
4) (a⁶-a⁴)/(a³+a²)=a⁴(a²-1)/(a²(a+1)=a²(a-1)(a+1)/(a+1)=a²(a-1);