Divide
$(2 a^{2} - 13 a b + 15 b^{2}) b y (a - 5 b)$

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Solution

$+ 2 a - 3 b$
___
$a - 5 b) 2 a^{2} - 13 a b + 15 b^{2}$
$2 a^{2} - 10 a b$
$-$ $+$

$- 3 a b + 15 b^{2}$
$- 3 a b + 15 b^{2}$
$+$ $-$
_
x
$\Rightarrow \frac{2 a^{2} - 13 a b + 15 b^{2}}{a - 5 b} = 2 a - 3 b$ .

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