$$\frac{4a^{3}-25ab^{2}}{2a^{2}+ab-15b^{2}}$$
$\frac{a\left(2a+5b\right)}{a+3b}$
$$\frac{a\left(2a-5b\right)\left(2a+5b\right)}{\left(a+3b\right)\left(2a-5b\right)}$$
$$\frac{a\left(2a+5b\right)}{a+3b}$$
$$\frac{2a^{2}+5ab}{a+3b}$$
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$\frac{2a^{2}+5ab}{a+3b}$
