Question

simplify the expression:
4 - 4 + 6u + 2 - u + 3

Explanation:

Step1: Combine constant terms

First, handle the constant terms (the terms without \( u \)): \( 4 - 4 + 2 + 3 \).
\( 4 - 4 = 0 \), then \( 0 + 2 + 3 = 5 \).

Step2: Combine like terms with \( u \)

Next, handle the terms with \( u \): \( 6u - u \).
Using the rule of combining like terms (subtract the coefficients), \( 6u - u=(6 - 1)u = 5u \).

Step3: Combine the results

Now, combine the result from the constant terms and the result from the \( u \)-terms: \( 5u+5 \).

Answer:

\( 5u + 5 \)