2. 外语
  3. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,

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问题 Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question.
选项
答案B
解析 The given equation(4x - 2y)(6x + 3y)= 18 can be simplified as follows.
Step 1: Note that(4x - 2y)= 2(2x- y)and(6x + 3y)= 3(2x + y), so the given equation can be rewritten as(2)(2x - y)(3)(2x+y)= 18.
Step 2: Dividing both sides of the rewritten equation by 6 gives(2x - y)(2x + y)= 3.
Step 3: Multiplying out the left side of the equation in Step 2 gives 4x2-y2= 3.
Since Quantity A is 4x2 -y2, it follows that Quantity A is equal to 3. Since Quantity B is 6, the correct answer is Choice B.
This explanation uses the following strategy.
Strategy 8: Search for a Mathematical Relationship
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