$$\frac{3}{x-6}\cdot\frac{4}{x-5}\cdot1$$
$\frac{12}{\left(x-6\right)\left(x-5\right)}$
$$\frac{3\times 4}{\left(x-6\right)\left(x-5\right)}\times 1$$
$$\frac{3\times 4}{\left(x-6\right)\left(x-5\right)}$$
$$\frac{12}{\left(x-6\right)\left(x-5\right)}$$
$$\frac{12}{x^{2}-5x-6x+30}$$
$$\frac{12}{x^{2}-11x+30}$$
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$\frac{12\left(11-2x\right)}{\left(\left(x-6\right)\left(x-5\right)\right)^{2}}$
