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(x+40)^2 + (x-40)^2

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(x+40)^2 + (x-40)^2 [#permalink] New post   24 Aug 2021, 23:11
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Question Stats:

50% (01:07) correct 50% (01:18) wrong based on 16 sessions

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Quantity A
Quantity B
\((x+40)^2 + (x-40)^2\)
-160x


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.
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D
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Re: (x+40)^2 + (x-40)^2 [#permalink] New post   25 Aug 2021, 01:36
is it a.
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Re: (x+40)^2 + (x-40)^2 [#permalink] New post   25 Aug 2021, 03:49
1
Take \(x = 0\)

Qt A > Qt B

Take \(x = -40\)

Qt A = Qt B

Answer D
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(x+40)^2 + (x-40)^2 [#permalink] New post   22 Jan 2022, 00:52
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I think the answer is A.
when I solved the them, I got A = 2x^2 + 3200 and B = -160x.
Now, If we take x = 0 then, A>B because it would be 3200 and B = 0
another case if we take x = -10000
then A would be 2*(-10000)^2 + 3200
and B would be 1600000
and A is still greater than B.
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Re: (x+40)^2 + (x-40)^2 [#permalink] New post   22 Jan 2022, 01:25
Expert Reply
if you test numbers such as 0,1,-1, or fractions such as 1/2 or -1/4 the result is different

D is the answer
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