A
B
C
D
Explanation
Correct answer: B.
Choice B is correct. Since each term in the given expression has a common factor of , it can be rewritten as , or . Therefore, the expression is equivalent to .
Alternate approach: Since the two terms of the given expression are both constant multiples of , they are like terms and can, therefore, be combined through subtraction. Subtracting like terms in the expression yields .
Desmos solution:
Note: The green line fits the coefficient a, then read a for the answer.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This expression is equivalent to , not .
Choice C
Choice C is incorrect. This expression is equivalent to , not .
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.