Question

Упростите выражение
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Answer 1

$(a- \frac{4a-9}{a-2} ):(2a-\frac{2a}{a-2} )= \frac{a(a-2)-(4a-9)}{a-2} : \frac{2a(a-2)-2a}{a-2}=$

$= \frac{a^2-2a-4a+9}{a-2} : \frac{2a^2-4a-2a}{a-2} = \frac{a^2-6a+9}{a-2} : \frac{2a^2-6a}{a-2} = \frac{(a-3)^2}{a-2} * \frac{a-2}{2a(a-3)} = \frac{a-3}{2a}$