Explanation
Correct answer: B.
Choice B is correct. The expression can be written as , which is equivalent to . Distributing and to yields , or . The expression is equivalent to . Distributing and to yields , or . Therefore, the expression is equivalent to , or . Combining like terms in this expression yields .
Desmos solution:
Note: The listed x-values make the original expression and choice B print the same outputs.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. Equivalent expressions must be equivalent for any value of . Substituting for in this expression yields , whereas substituting for in the given expression yields .
Choice C
Choice C is incorrect. Equivalent expressions must be equivalent for any value of . Substituting for in this expression yields , whereas substituting for in the given expression yields .
Choice D
Choice D is incorrect. Equivalent expressions must be equivalent for any value of . Substituting for in this expression yields , whereas substituting for in the given expression yields .