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Re: Which is greater: (x-2)^2 or x^2-4 [#permalink]
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(x-2)^2 = x^2 -4x + 4
x^2 -4 ? x^2 -4x + 4
-4 ? 4 - 4x
for x=2 these are equal.
for x < 2, -4 is less.
for x > 2, -4 is more.
so we can not recognize their relationship and D is correct.
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Re: Which is greater: (x-2)^2 or x^2-4 [#permalink]
x^2-4x+4 and x^2-4
add +4 to both sides yields: x^2-4x+8 and x^2
then, subtract x^2 from both sides
-4x+4 and 0
then if x=0, then QA equals 4, QB 0
if x=1, then the quantities are equal.
So, the answer is D
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Re: Which is greater: (x-2)^2 or x^2-4 [#permalink]
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