Determine If The Two Expressions Are Equivalent And Explain Your Reasoning., 3(4n) + 2 + 6n And 13n + 2

Determine if the two expressions are equivalent and explain your reasoning.

3(4n) + 2 + 6n and 13n + 2

 

Answer:

The two expressions are not equivalent.

Step-by-step explanation:

First expression:

3(4n) + 2 + 6n

Simplify by combining the like terms.

Like terms are terms with the same literal coefficient or the variable and its exponent.

12n + 6n + 2

= 18n + 2  

Second expression:

13n + 2

The two expressions are not equivalent.

18n + 2 ≠ 13n + 2

Reason:

If a number is substituted to "n", the expressions will not yield the same result.

When n = 2:

18n + 2 ≠ 13n + 2

18(2) + 2 ≠ 13(2) + 2

36 + 2 ≠ 26 + 2

38 ≠ 28

When n = -4:

18(-4) + 2 ≠ 13(-4) + 2

-72 + 2 ≠ -52 + 2

-70 ≠ - 50


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