Question

Add: 12(x+4)+14(4x−2)
. Answer should be in mixed number form.(1 point)

Answer 1

Let's simplify the expression \( 12(x + 4) + 14(4x - 2) \).

First, distribute the constants:

\[
12(x + 4) = 12x + 48
\]
\[
14(4x - 2) = 56x - 28
\]

Now, combine these simplified expressions:

\[
12x + 48 + 56x - 28
\]

Combine like terms:

\[
(12x + 56x) + (48 - 28) = 68x + 20
\]

Now, we have \( 68x + 20 \). To express this in mixed number form, we'll rewrite the constant:

The term \( 20 \) can be expressed as a mixed number:

\[
20 = 20 \frac{0}{1}
\]

Thus, the final expression \( 68x + 20 \) remains as is and does not naturally convert to a mixed number because it is a polynomial in \( x \).

If you need it specifically in terms of a mixed number format, just let me know how to manage that! But the simplified polynomial expression is:

\[
68x + 20
\]