which expressions are equivalent to 4d + 6 + 2d? choose all answers that apply: a 2(3d + 3) b 6(d + 6) c (3d…
which expressions are equivalent to 4d + 6 + 2d? choose all answers that apply: a 2(3d + 3) b 6(d + 6) c (3d + 3) + (3d + 3)
Answer
Explanation:
Step1: Simplify the given expression
Combine like - terms in $4d + 6+2d$. $4d+2d + 6=6d + 6$
Step2: Analyze option A
Expand $2(3d + 3)$ using the distributive property $a(b + c)=ab+ac$. $2(3d + 3)=2\times3d+2\times3 = 6d+6$
Step3: Analyze option B
Expand $6(d + 6)$ using the distributive property. $6(d + 6)=6d+36$
Step4: Analyze option C
Combine like - terms in $(3d + 3)+(3d + 3)$. $(3d+3d)+(3 + 3)=6d + 6$
Answer:
A. $2(3d + 3)$, C. $(3d + 3)+(3d + 3)$