Question

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

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