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# If (a + c)(a - c) = 0, which of the following MUST be true?

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Math Expert
Joined: 02 Sep 2009
Posts: 58381
If (a + c)(a - c) = 0, which of the following MUST be true?  [#permalink]

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07 Mar 2019, 02:45
00:00

Difficulty:

25% (medium)

Question Stats:

76% (00:30) correct 24% (00:54) wrong based on 17 sessions

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If (a + c)(a - c) = 0, which of the following MUST be true?

A. a = 0
B. c = 0
C. a = -c
D. a = c
E. a^2 = c^2

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Joined: 31 Oct 2013
Posts: 1469
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If (a + c)(a - c) = 0, which of the following MUST be true?  [#permalink]

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07 Mar 2019, 02:50
Bunuel wrote:
If (a + c)(a - c) = 0, which of the following MUST be true?

A. a = 0
B. c = 0
C. a = -c
D. a = c
E. a^2 = c^2

Given,

(a + c)(a - c) = 0

$$(a^2 - c^2) = 0$$

$$a^2 = c^2$$

E is the correct answer.
Re: If (a + c)(a - c) = 0, which of the following MUST be true?   [#permalink] 07 Mar 2019, 02:50
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# If (a + c)(a - c) = 0, which of the following MUST be true?

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