Question

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Знайдіть суму і різницю дробів:
$\frac{a - 1}{a(a - 5)} \: \frac{1}{5 - a}$
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Answer 1

$\frac{a-1}{a(a-5)} +\frac{1}{5-a} = \frac{a-1}{a(a-5)} +\frac{1}{-(a-5)}=\frac{a-1}{a(a-5)} -\frac{1}{a-5}=\frac{a-1-a}{a(a-5)} = \frac{-1}{a(a-5)} = -\frac{1}{a^{2} -5a}$

$\frac{a-1}{a(a-5)} -\frac{1}{5-a} = \frac{a-1}{a(a-5)} -\frac{1}{-(a-5)} = \frac{a-1}{a(a-5)} +\frac{1}{a-5}= \frac{a-1+a}{a(a-5)}= \frac{2a-1}{a^{2} -5a)}$