Задание 68

Question

Сократите дробь:
ewlineа) $\frac{2a^3 + 6a^2}{18a^5 + 54a^4}$;
ewlineб) $\frac{c^2 + 8c + 16}{c^3 + 64}$;
ewlineв) $\frac{d^2 - 7d - 30}{d^2 - 100}$.

Gimli · Accepted Answer

a)	extbf{ }$\frac{2a^3 + 6a^2}{18a^5 + 54a^4} = \frac{2a^2(a + 3)}{18a^4(a + 3)} = \frac{1}{9a^2}$
ewlineб) $\frac{c^2 + 8c + 16}{c^3 + 64} = \frac{(c + 4)^2}{(c + 4)(c^2 - 4c +16)} = \frac{c + 4}{c^2 - 4c + 16}$
ewlineв) $\frac{d^2 - 7d - 30}{d^2 - 100} = \frac{(d - 10)(d + 3)}{(d - 10)(d + 10)} = \frac{d + 3}{d + 10}$
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Задание 68

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Задание 68

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