Question

Select each expression that is equivalent to 3(n+6) 3 ( n + 6 ) . ​Select all that apply. A 3n+6 3 n + 6 B 3n+18 3 n + 18 C 2n+2+n+4 2 n + 2 + n + 4 D 2(n+6)+(n+6) 2 n + 6 + ( n + 6 ) E 2(n+6)+n 2 n + 6 + n

Answer 1

• B) 3n+18
• (D) 2(n+6)+(n+6)

Explanation:

We want to determine which expressions are equal to 3(n+6).

• (B) If we expand the bracket, 3(n+6)=3n+18
• (D) 2(n+6)+(n+6)

If we Simplify this, 2(n+6)+(n+6)= (2+1)(n+6)=3(n+6)

All other expressions are not equivalent.

A) 3n+6≠3(n+6) because the parenthesis is missing.

(C)2n+2+n+4 simplifies as 3n+6 which we have proven to be wrong

(E)2(n+6)+n simplifies as 3n+12