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37² + (2)(37)(33) + 33² =

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GreenlightTestPrep
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37² + (2)(37)(33) + 33² = [#permalink] New post   14 Mar 2022, 10:19
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Question Stats:

90% (00:53) correct 10% (01:01) wrong based on 10 sessions

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37² + (2)(37)(33) + 33² =

Challenge/hint: See if you can answer this question in your head. It's definitely possible.

Answer:
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4900
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Re: 37² + (2)(37)(33) + 33² = [#permalink] New post   14 Mar 2022, 10:47
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Its (a+b)^2
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GreenlightTestPrep
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Re: 37² + (2)(37)(33) + 33² = [#permalink] New post   14 Mar 2022, 10:52
AkkuJi wrote:
Its (a+b)^2


Bingo!!
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Re: 37² + (2)(37)(33) + 33² = [#permalink] New post   14 Mar 2022, 13:56
GreenlightTestPrep wrote:
37² + (2)(37)(33) + 33² =

Challenge/hint: See if you can answer this question in your head. It's definitely possible.

Answer:
Show: ::
4900


Put down your calculator.

STRATEGY: When the GRE presents you with a computation-only question, there's often a hidden algebraic property that's being tested.
Of course, you can always solve the question by performing all of the calculations, but it's worth taking a moment to see if you can spot the algebraic property first.

In this case, we might recognize that the given expression 37² + (2)(37)(33) + 33² closely resembles the special product x² + 2xy + y²
When we compare the two expressions we see that x = 37 and y = 33

So, in the same way that x² + 2xy + y² = (x + y)²...
... we can also conclude that 37² + (2)(37)(33) + 33² = (37 + 33)² = (70)² = 4900

Answer: 4900
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