We are given the expression:

\[
2c + (c - d^2)
\]

where \(c = 8\) and \(d = 2\). Let's break this down step by step:

### Step 1: Substitute the values of \(c\) and \(d\) into the expression.
\[
2(8) + (8 - 2^2)
\]

### Step 2: Calculate the square of \(d\).
\[
2^2 = 4
\]
Now, the expression becomes:
\[
16 + (8 - 4)
\]

### Step 3: Simplify the expression inside the parentheses.
\[
8 - 4 = 4
\]
So the expression now becomes:
\[
16 + 4
\]

### Step 4: Add the values.
\[
16 + 4 = 20
\]

Thus, the value of the expression is \( \boxed{20} \).

Would you like more details, or do you have any further questions?

Here are 5 relative questions based on this problem:
1. How would the expression change if \(c = 5\) and \(d = 3\)?
2. What happens if you change the exponent on \(d\) to a higher value, say \(d^3\)?
3. How can you expand this to more variables, such as \(2c + (c - d^2 + e)\)?
4. What would the result be if both \(c\) and \(d\) were negative values?
5. How do parentheses affect the outcome of expressions like this?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when simplifying expressions.

Discover how to solve the algebraic expression 2c + (c - d^2) by substituting c = 8 and d = 2. This detailed step-by-step solution helps students understand key algebraic concepts such as substitution and simplification. Ideal for Grades 6-8.

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