Respuesta :

The correct answer is:  [D]:  " - 2xy " .
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Explanation:
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Let us consider the value of each of the answer choices; 

Given:  " x = -2 " ;  and:  " y = 4 " ;  
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Choice [A]:    "  x * 2y  =  -2 * (2 * 4)  =  -2 * 8  =  -16  .
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Choice [B]:    " (-2)* (2y) = (-2) * (2 * 4)  =  -2 * 8  =  -16  .
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Choice [C]:    " -4x * 2 =  -4(-2) * 2 = -8 * 2  = -16
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Choice [D]:    " -2xy  =  (-2 * -2 * 4)  = 4 * 4 = 16.
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→ The answer is:  Choice [D]:  " -2xy " .
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→  When "x = -2 " ; and "y = 4" ;  

 Answer choices [A], [B], and [C] have the same value:  " -16 " .

 Answer choice [D]:  The value is different:  "16" {"positive 16" .}.
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The answer is C.

I know this because D is not correct, and it counted it wrong on my lesson.

I also know this because A & B equal -16.

Therefore, C is correct.

Hopefully I got this right.