Question

which expressions are equivalent to 2 - 6 - 15? choose 2 answers: a 2 - (-6) + (-15) b 2 + (-6) + (-15) c 2 - ((-6) + (-15)) d 2 + ((-6) + (-15))

Explanation:

Step1: Simplify the original expression

$2 - 6-15=2+( - 6)+(-15)$ (subtracting a number is the same as adding its additive inverse).

Step2: Analyze option A

$2-(-6)+(-15)=2 + 6+(-15)=2+6 - 15= - 7$, which is not equivalent to $2-6 - 15=-19$.

Step3: Analyze option B

$2+(-6)+(-15)=2 - 6-15=-19$, so option B is equivalent.

Step4: Analyze option C

$2-((-6)+(-15))=2-(-21)=2 + 21=23$, which is not equivalent to $2-6 - 15=-19$.

Step5: Analyze option D

$2+((-6)+(-15))=2+(-21)=2 - 21=-19$, so option D is equivalent.

Answer:

B. $2+(-6)+(-15)$
D. $2+((-6)+(-15))$