Explanation
Correct answer: C.
Choice C is correct. The first expression can be rewritten as . Applying the distributive property to this product yields . This difference can be rewritten as . Distributing the factor of through the second expression yields . Regrouping like terms, the expression becomes . Combining like terms yields .
Desmos solution:
Note: Create a list of x-values. Use regression to fit the original expression to the form ; the resulting coefficients match choice C.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and likely results from errors made when applying the distributive property or combining the resulting like terms.
Choice B
Choice B is incorrect and likely results from errors made when applying the distributive property or combining the resulting like terms.
Choice D
Choice D is incorrect and likely results from errors made when applying the distributive property or combining the resulting like terms.