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(x+3)(x+3)
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25 May 2018, 16:13
25 May 2018, 16:13
Expert Reply
00:00
Question Stats:
84% (00:24) correct
15% (00:19) wrong based on 83 sessions
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Quantity A |
Quantity B |
\((x+3)(x+3)\) |
\(x^2 + 9\) |
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: (x+3)(x+3)
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26 May 2018, 09:46
26 May 2018, 09:46
Carcass wrote:
Quantity A |
Quantity B |
\((x+3)(x+3)\) |
\(x^2 + 9\) |
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.
We can solve this question using matching operations
Given:
Quantity A: (x+3)(x+3)
Quantity B: x² + 9
Expand and simplify Quantity A to get:
Quantity A: x² + 6x + 9
Quantity B: x² + 9
Subtract x² from both quantities A to get:
Quantity A: 6x + 9
Quantity B: 9
Subtract 9 from both quantities A to get:
Quantity A: 6x
Quantity B: 0
Since x COULD equal 0, the two quantities COULD be EQUAL
Since x COULD be positive, Quantity A COULD be greater
Since x COULD be negative, Quantity B COULD be greater
Answer: D
Cheers,
Brent
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Re: (x+3)(x+3) [#permalink]
26 May 2018, 09:46
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