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# Which of the following is equal to (x - 2)^2 + (x - 1)^2 + x^2 + (x +

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Math Expert
Joined: 02 Sep 2009
Posts: 49430
Which of the following is equal to (x - 2)^2 + (x - 1)^2 + x^2 + (x +  [#permalink]

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17 Jul 2018, 23:53
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Difficulty:

5% (low)

Question Stats:

90% (01:13) correct 10% (00:59) wrong based on 29 sessions

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Which of the following is equal to $$(x - 2)^2 + (x - 1)^2 + x^2 + (x + 1)^2 + (x + 2)^2$$?

(A) $$5x^2$$

(B) $$5x^2 + 10$$

(C) $$x^2 + 10$$

(D) $$5x^2 + 6x + 10$$

(E) $$5x^2 - 6x + 10$$

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Joined: 07 Dec 2017
Posts: 613
Re: Which of the following is equal to (x - 2)^2 + (x - 1)^2 + x^2 + (x +  [#permalink]

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17 Jul 2018, 23:57
Bunuel wrote:
Which of the following is equal to $$(x - 2)^2 + (x - 1)^2 + x^2 + (x + 1)^2 + (x + 2)^2$$?

(A) $$5x^2$$

(B) $$5x^2 + 10$$

(C) $$x^2 + 10$$

(D) $$5x^2 + 6x + 10$$

(E) $$5x^2 - 6x + 10$$

Instead of calculating and risking making silly errors, we'll plug in easy numbers.
This is an Alteranative approach.

Say x = 1.
Then our expression is 1 + 0 + 1 + 4 + 9 = 15

A. 5 NO
B. 15 maybe, let's check the others.
C. 11 NO
D. 5 + 6 + 10 = 21. NO
E. 5 - 6 + 10 = 9. NO

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Re: Which of the following is equal to (x - 2)^2 + (x - 1)^2 + x^2 + (x + &nbs [#permalink] 17 Jul 2018, 23:57
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# Which of the following is equal to (x - 2)^2 + (x - 1)^2 + x^2 + (x +

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