OG详解-OG10 数学2 Q17

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’s given 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.