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# a > 0 || (a + 2)(3a + 6)

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1782 [0], given: 397

a > 0 || (a + 2)(3a + 6) [#permalink]  06 Apr 2018, 15:26
Expert's post
00:00

Question Stats:

73% (01:05) correct 26% (00:42) wrong based on 15 sessions
a > 0
 Quantity A Quantity B $$(a + 2)(3a + 6)$$ $$(3a + 2)(a + 6)$$

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.

Drill 1
Question: 2
Page: 507
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1782 [0], given: 397

Re: a > 0 || (a + 2)(3a + 6) [#permalink]  15 Apr 2018, 05:24
Expert's post
Explanation

For Quantity A, you get $$3a^2 + 6a + 6a + 12$$, or $$3a^2 + 12a + 12$$.

For Quantity B, you get $$3a^2 + 18a + 2a + 12$$, or $$3a^2 + 20a + 12$$.

Remember to compare, not calculate.

Notice that the only difference between the quantities is that between 20a and 12a. Because a is positive, 20a must be greater than 12a, thus, Quantity B will always be greater.
_________________

Sandy
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Re: a > 0 || (a + 2)(3a + 6)   [#permalink] 15 Apr 2018, 05:24
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