Question : Simplify the expression:
$(2x+13-y)(2x-13-y)$
Option 1: $4x^2-y^2-4xy-169$
Option 2: $4x^2+y^2+4xy-169$
Option 3: $4x^2+y^2-4xy-169$
Option 4: $4x^2+y^2-4xy+169$
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Correct Answer: $4x^2+y^2-4xy-169$
Solution :
$(2x+13-y)(2x-13-y)$
$=[(2x-y)+13][(2x-y)-13]$
$=(2x-y)^2-13^2$
$=4x^2+y^2-4xy-169$
Hence, the correct answer is $4x^2+y^2-4xy-169$.
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