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Advanced Math / Equivalent expressions Difficulty: Easy

Which expression is equivalent to $16 x cubed y squared plus 14 x y$ ?

$2 x y left parenthesis 8 x y plus 7 right parenthesis$

$2 x y left parenthesis 8 x squared y plus 7 right parenthesis$

$14 x y left parenthesis 2 x squared y plus 1 right parenthesis$

$14 x y left parenthesis 8 x squared y plus 1 right parenthesis$

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Explanation

Choice B is correct. Since $2 x y$ is a common factor of each term in the given expression, the expression can be rewritten as $2 x y left parenthesis 8 x squared y plus 7 right parenthesis$ .

Choice A is incorrect. This expression is equivalent to $16 x squared y squared plus 14 x y$ .

Choice C is incorrect. This expression is equivalent to $28 x cubed y squared plus 14 x y$ .

Choice D is incorrect. This expression is equivalent to $112 x cubed y squared plus 14 x y$ .