Question

(x+9 x-6) : 3x2-18x+27 x2-36

Answer 1

$(x + frac{9}{x - 6} ) div frac{3 {x}^{2} - 18x + 27}{ {x}^{2} - 36} = frac{x(x - 6) +9 }{x - 6} div frac{3( {x}^{2} - 6x + 9) }{(x - 6)(x + 6)} = \ = frac{ { {x}^{2} - 6x + 9} }{x - 6} div frac{3( {x}^{2} - 6x + 9) }{(x - 6)(x + 6)} = frac{(x ^{2} - 6x + 9)(x - 6)(x + 6)}{(x - 6) times 3( { {x}^{2} - 6x + 9)} } = \ = frac{x + 6}{3}$