What is the value of the expression $$ 2 c(c+3)^{2} $$ if $$ c=2 ? $$

Question

UpStudy AI · Accepted Answer

To evaluate the expression $$ 2c(c + 3)^2 $$ for $$ c = 2 $$, follow these steps:

1. **Substitute $$ c = 2 $$ into the expression:**
   
   $$
   2 \times 2 \times (2 + 3)^2
   $$

2. **Calculate inside the parentheses:**
   
   $$
   2 + 3 = 5
   $$
   
   So the expression becomes:
   
   $$
   2 \times 2 \times 5^2
   $$

3. **Calculate the exponentiation:**
   
   $$
   5^2 = 25
   $$
   
   Now the expression is:
   
   $$
   2 \times 2 \times 25
   $$

4. **Multiply the constants:**
   
   $$
   2 \times 2 = 4
   $$
   
   Then:
   
   $$
   4 \times 25 = 100
   $$

**Final Answer:** The value of the expression is **100**.
The value of the expression is 100.

What is the value of the expression \( 2 c(c+3)^{2} \) if \( c=2 ? \)