ind the expansion of: $$ (x+3)^{2} $$

Question

UpStudy AI · Accepted Answer

**Step 1:** Write down the given expression:  
$$
(x+3)^2
$$

**Step 2:** Recall the formula:  
$$
(a+b)^2 = a^2 + 2ab + b^2
$$

**Step 3:** Identify the values $$ a $$ and $$ b $$:
- $$ a = x $$
- $$ b = 3 $$

**Step 4:** Substitute $$ a $$ and $$ b $$ into the formula:  
$$
(x+3)^2 = x^2 + 2 \cdot x \cdot 3 + 3^2
$$

**Step 5:** Simplify the expression:  
$$
x^2 + 2 \cdot x \cdot 3 = x^2 + 6x
$$  
$$
3^2 = 9
$$

**Step 6:** Combine the terms to get the final expansion:  
$$
x^2 + 6x + 9
$$
The expansion of $$ (x+3)^2 $$ is $$ x^2 + 6x + 9 $$.

ind the expansion of: \( (x+3)^{2} \)