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Which is greater (2x-11)(2x+11)/4
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22 Apr 2019, 08:56
22 Apr 2019, 08:56
Expert Reply
00:00
Question Stats:
70% (00:54) correct
30% (01:00) wrong based on 40 sessions
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Quantity A |
Quantity B |
\(\frac{(2x-11)(2x+11)}{4}\) |
\((x-11)(x+11)\) |
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.
Re: Which is greater (2x-11)(2x+11)/4
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22 Apr 2019, 13:48
22 Apr 2019, 13:48
Solution please?
Thanks so much
Thanks so much
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Which is greater (2x-11)(2x+11)/4
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22 Apr 2019, 14:38
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: \(\frac{(2x-11)(2x+11)}{4}\)
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: \(4x^2 - 121\)
Quantity B: \(4x^2 - 484\)
Subtract \(4x^2\) from both quantities to get:
Quantity A: \(-121\)
Quantity B: \(-484\)
Answer: A
Cheers,
Brent
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