Сократите дробь:
a^2-4/a^2-6a+8

11DarkMoon11 11DarkMoon11    2   22.06.2020 21:58    1

Ответы
drunkbear drunkbear  15.10.2020 14:41

\frac{a^{2}-4 }{a^{2}-6a+8 } =

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a²-4 = a² -2² = (a-2)*(a+2)

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a²-6a+8 = 0

D = (-6)² - 4 * 8 = 36 - 32 = 4 = 2²

a_{1} = \frac{6+2}{2} = 4

a_{1} = \frac{6-2}{2} = 2

a²-6a+8 = (a-4)*(a-2)

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= \frac{(a-2)(a+2)}{(a-4)*(a-2)} = \frac{a+2}{a-4}

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