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999,999^2-1 equals:
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17 Feb 2021, 05:45
17 Feb 2021, 05:45
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Question Stats:
81% (01:31) correct
18% (01:01) wrong based on 58 sessions
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\(999,999^2-1\) equals:
(A) \((9^6)(11^6)\)
(B) \((10^6)(10^5 -2)\)
(C) \((10^6)(10^6 -2)\)
(D) \((10^5)^2\)
(E) \((10^6)^2\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) \((9^6)(11^6)\)
(B) \((10^6)(10^5 -2)\)
(C) \((10^6)(10^6 -2)\)
(D) \((10^5)^2\)
(E) \((10^6)^2\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: 999,999^2-1 equals:
[#permalink]
17 Feb 2021, 06:41
17 Feb 2021, 06:41
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Carcass wrote:
\(999,999^2-1\) equals:
(A) \((9^6)(11^6)\)
(B) \((10^6)(10^5 -2)\)
(C) \((10^6)(10^6 -2)\)
(D) \((10^5)^2\)
(E) \((10^6)^2\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) \((9^6)(11^6)\)
(B) \((10^6)(10^5 -2)\)
(C) \((10^6)(10^6 -2)\)
(D) \((10^5)^2\)
(E) \((10^6)^2\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Key concept: \(x^2 - y^2\) is called a difference of squares, which can be factored as follows: \(x^2 - y^2= (x+y)(x-y)\)
Likewise: \(999,999^2-1 = 999,999^2-1^2\)
\(= (999,999 + 1)(999,999 - 1)\)
\(= (1,000,000)(999,998)\)
\(= (1,000,000)(1,000,000 - 2)\)
\(= (10^6)(10^6 - 2)\)
Answer: C
Re: 999,999^2-1 equals:
[#permalink]
08 May 2023, 06:11
08 May 2023, 06:11
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