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22 Jun 2021, 07:00
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
91% (01:08) correct
9%
(01:31)
wrong
based on 67
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Date
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Not Attempted Yet
Which of the following is equal to \((a – 2)^2 + (a – 1)^2 + a^2 + (a + 1)^2 + (a + 2)^2\) ?
(A) \(5a^2\)
(B) \(5a^2 + 10\)
(C) \(a^2 + 10\)
(D) \(5a^2 + 6a + 10\)
(E) \(5a^2 – 6a + 10\)
(A) \(5a^2\)
(B) \(5a^2 + 10\)
(C) \(a^2 + 10\)
(D) \(5a^2 + 6a + 10\)
(E) \(5a^2 – 6a + 10\)
22 Jun 2021, 07:06
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Bunuel
\((a – 2)^2 + (a – 1)^2 + a^2 + (a + 1)^2 + (a + 2)^2 = (a^2 - 4a + 4) + (a^2 - 2a + 1) + (a^2) + (a^2 + 2a + 1) + (a^2 + 4a + 4)\)
\( = 5a^2 + 10\)
Answer: B
rocky620
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22 Jun 2021, 07:29
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If we take a=1, the equation becomes
\((1-2)^2\)+\((1-1)^2\)+\((1)^2\)+\((1+1)^2\)+\((1+2)^2\)
1+0+1+4+9=15
Only Option B satisfies this.
\((1-2)^2\)+\((1-1)^2\)+\((1)^2\)+\((1+1)^2\)+\((1+2)^2\)
1+0+1+4+9=15
Only Option B satisfies this.
