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:
\[ 68x + 20 \]
3 answers