Задание 61

Question

Сократите дробь:
ewlineа) $\frac{3m^4 - 15m^3}{24m^3 - 120m^2}$;
ewlineб) $\frac{a^2 + 3a + 9}{a^3 - 27}$;
ewlineв) $\frac{b^2 - 36}{b^2 + 2b - 24}$.

Gimli · Accepted Answer

a)$\frac{3m^4 - 15m^3}{24m^3 - 120m^2} =$ $\frac{3m^3(m - 5)}{24m^2(m - 5)}$=$ \frac{3m^3}{24m^2}$ = $\frac{m}{8}$
ewlineб) $\frac{a^2 + 3a + 9}{a^3 - 27}$ = $\frac{a^2 + 3a + 9}{(a - 3)(a^2 + 3a + 9)}$ = $\frac{1}{a - 3}$в) $\frac{b^2 - 36}{b^2 + 2b - 24}$ = $\frac{(b - 6)(b + 6)}{(b + 6)(b - 4)}$ = $\frac{b - 6}{b - 4}$

Задание 61

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Задание 61

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