which expressions are equivalent to z + (z + 6)? choose all answers that apply: a (z + z) + (z + 6) b (z +…
which expressions are equivalent to z + (z + 6)? choose all answers that apply: a (z + z) + (z + 6) b (z + 6) + 6 c 2(z + 3)
Answer
Explanation:
Step1: Simplify the original expression
$z+(z + 6)=z+z + 6=2z+6$
Step2: Analyze option A
$(z + z)+(z + 6)=2z+z + 6=3z+6$, not equivalent.
Step3: Analyze option B
$(z + 6)+6=z+12$, not equivalent.
Step4: Analyze option C
$2(z + 3)=2z+6$, equivalent.
Answer:
C. $2(z + 3)$