Question

упростить выражение
$(x + \frac{9}{x - 6} ) \div \frac{3x {}^{2} - 18x + 27}{x {}^{2} - 36}$
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Answer 1

$\displaystyle\tt\bigg(x+\frac{9}{x-6} \bigg):\frac{3x^2-18x+27}{x^2-36}= \frac{x(x-6)+9}{x-6}:\frac{3(x^2-6x+9)}{(x-6)(x+6)}=\\\\\\=\frac{x^2-6x+9}{x-6}\cdot\frac{(x-6)(x+6)}{3(x^2-6x+9)}=\frac{x+6}{3}$