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Which is greater (2x-11)(2x+11)/4

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Carcass
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Which is greater (2x-11)(2x+11)/4 [#permalink] New post   22 Apr 2019, 08:56
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A
B
C
D

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Quantity A
Quantity B
(2x−11)(2x+11)4
(x−11)(x+11)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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A
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LT2018
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Re: Which is greater (2x-11)(2x+11)/4 [#permalink] New post   22 Apr 2019, 13:48
Solution please?
Thanks so much
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GreenlightTestPrep
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Which is greater (2x-11)(2x+11)/4 [#permalink] New post   22 Apr 2019, 14:38
2
Carcass wrote:
Quantity A
Quantity B
\(\frac{(2x-11<}{div>
2x+11)/4}\))((x−11)(x+11)



We can solve this question using matching operations

Given:
Quantity A: (2x−11)(2x+11)4

Quantity B: (x−11)(x+11)

Multiply both quantities by 4 to get:
Quantity A: (2x−11)(2x+11)
Quantity B: (4)(x−11)(x+11)

Expand and simplify both quantities to get:
Quantity A: 4x2−121
Quantity B: 4x2−484

Subtract 4x2 from both quantities to get:
Quantity A: −121
Quantity B: −484

Answer: A

Cheers,
Brent

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LT2018
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Re: Which is greater (2x-11)(2x+11)/4 [#permalink] New post   23 Apr 2019, 04:17
Thank you so much for the explanation, Brent! :)
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Re: Which is greater (2x-11)(2x+11)/4 [#permalink] New post   10 Aug 2019, 12:45
Should we not consider different values of x, say x=0 and such?
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Re: Which is greater (2x-11)(2x+11)/4 [#permalink] New post   10 Aug 2019, 12:48
almondspeeing wrote:
Should we not consider different values of x, say x=0 and such?


Sure, you can test all sorts of x-values (including x = 0).
When you do that, you'll find that Quantity A is always greater.
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Re: Which is greater (2x-11)(2x+11)/4 [#permalink]
10 Aug 2019, 12:48
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