$$10y(6y+21)\div5(2y+7)$$
$6y\left(2y+7\right)^{2}$
$$\frac{60y^{2}+210y}{5}\left(2y+7\right)$$
$$\frac{\left(60y^{2}+210y\right)\left(2y+7\right)}{5}$$
$$\frac{120y^{3}+420y^{2}+420y^{2}+1470y}{5}$$
$$\frac{120y^{3}+840y^{2}+1470y}{5}$$
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$24y^{3}+168y^{2}+294y$