$$ (4+y)^{2} $$ Rewrite without parentheses and simplify. $$ (4) $$

Question

UpStudy AI · Accepted Answer

To expand and simplify $$ (4 + y)^{2} $$ without parentheses, follow these steps:

1. **Apply the Binomial Expansion Formula:**
   
   $$
   (a + b)^2 = a^2 + 2ab + b^2
   $$
   
   Here, $$ a = 4 $$ and $$ b = y $$.

2. **Substitute the Values:**
   
   $$
   (4 + y)^2 = 4^2 + 2 \times 4 \times y + y^2
   $$

3. **Calculate Each Term:**
   
   $$
   4^2 = 16
   $$
   
   $$
   2 \times 4 \times y = 8y
   $$
   
   $$
   y^2 = y^2
   $$

4. **Combine the Terms:**
   
   $$
   (4 + y)^2 = y^2 + 8y + 16
   $$

**Final Simplified Form:**

$$
y^2 + 8y + 16
$$
$$ y^2 + 8y + 16 $$

\( (4+y)^{2} \) Rewrite without parentheses and simplify. \( (4) \)