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Advanced Math / Equivalent expressions Difficulty: Easy

Which expression is equivalent to $4 left parenthesis x squared plus 6 right parenthesis$ ?

$4 x squared plus 24$

$4 x squared plus 10$

$4 x squared plus 6$

$4 x squared minus 2$

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Explanation

Choice A is correct. The expression $4 left parenthesis x squared plus 6 right parenthesis$ can be rewritten as $4 left parenthesis x squared right parenthesis plus 4 left parenthesis 6 right parenthesis$ , which is equivalent to $4 x squared plus 24$ .

Choice B is incorrect. This expression is equivalent to $4 left parenthesis x squared plus five halves right parenthesis$ , not $4 left parenthesis x squared plus 6 right parenthesis$ .

Choice C is incorrect. This expression is equivalent to $4 left parenthesis x squared plus three halves right parenthesis$ , not $4 left parenthesis x squared plus 6 right parenthesis$ .

Choice D is incorrect. This expression is equivalent to $4 left parenthesis x squared minus one half right parenthesis$ , not $4 left parenthesis x squared plus 6 right parenthesis$ .