OG详解-OG2 数学2 Q15

Choice B is correct. The given expression has a common factor of 2 in the denominator, so the expression can be rewritten as 8x(x−7)−3(x−7)2(x−7​)​. The three terms in this expression have a common factor of  (x -7). Since it’sgiven that x > 7, x can’t be equal to 7, which means  (x -7) can’t be equal to  0. Therefore, each term in the expression, 8x(x−7)−3(x−7)2(x−7​) , can be divided by  (x-7), which gives 8x−32​​  .
Choice A is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.