$$\frac{x}{2}\times\frac{3x}{8}+9=$$
$\frac{3x^{2}}{16}+9$
$$\frac{x\times 3x}{2\times 8}+9$$
$$\frac{x\times 3x}{2\times 8}+\frac{9\times 2\times 8}{2\times 8}$$
$$\frac{x\times 3x+9\times 2\times 8}{2\times 8}$$
$$\frac{3x^{2}+144}{2\times 8}$$
$$\frac{3x^{2}+144}{16}$$
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$\frac{3\left(x^{2}+48\right)}{16}$
$$\frac{3\left(xx+48\right)}{16}$$