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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
40% (00:47) correct
60% (00:29) wrong based on 5 sessions
History
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Not Attempted Yet
08 Feb 2025, 12:42
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OE
The given equation (4x - 2y)(6x + 3y) = 18 can be simplifed 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 lef side of the equation in Step 2 gives 4x^2 - y^2 = 3. Since Quantity A is 4x^2 - y^2, it follows that Quantity A is equal to 3. Since
Quantity B is 6, the correct answer is Choice B.
The given equation (4x - 2y)(6x + 3y) = 18 can be simplifed 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 lef side of the equation in Step 2 gives 4x^2 - y^2 = 3. Since Quantity A is 4x^2 - y^2, it follows that Quantity A is equal to 3. Since
Quantity B is 6, the correct answer is Choice B.
