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If j * k = j^2-2jk + k^2 for all integers j and k, then 4 * 3 =

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Manager
Joined: 13 Jun 2012
Posts: 203
Location: United States
WE: Supply Chain Management (Computer Hardware)
If j * k = j^2-2jk + k^2 for all integers j and k, then 4 * 3 =  [#permalink]

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26 Jul 2017, 17:03
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Difficulty:

5% (low)

Question Stats:

95% (00:37) correct 5% (00:00) wrong based on 35 sessions

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If $$j * k = j^2-2jk + k^2$$ for all integers j and k, then 4 * 3 =

(A) 49
(B) 13
(C) 1
(D) -1
(E) -14
Senior SC Moderator
Joined: 22 May 2016
Posts: 2745
Re: If j * k = j^2-2jk + k^2 for all integers j and k, then 4 * 3 =  [#permalink]

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26 Jul 2017, 17:16
Turkish wrote:
If j * k = j^2-2jk + k^2 for all integers j and k, then 4 * 3 =
(A) 49
(B) 13
(C) 1
(D) -1
(E) -14

1. $$j^2 - 2jk + k^2$$ = $$(j - k)^2$$

$$(4 - 3)^2$$ = 1 * 1 = 1

2. If you miss that the expression is the square of a difference, plug in:

$$4^2 - (2)(4)(3) + 3^2$$ =
16 - 24 + 9 = 1

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Re: If j * k = j^2-2jk + k^2 for all integers j and k, then 4 * 3 =   [#permalink] 26 Jul 2017, 17:16
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