36, Consider the expression. $$ x^{2}+3 x y+y^{2} $$ If $$ x=9 $$, and $$ y=4 $$, what is the value of the expression? A 53 B 121 C 134 D 205

Question

UpStudy AI · Accepted Answer

To evaluate the expression $$ x^{2} + 3xy + y^{2} $$ with $$ x = 9 $$ and $$ y = 4 $$, follow these steps:

1. **Substitute the given values into the expression:**
   $$
   (9)^{2} + 3 \times 9 \times 4 + (4)^{2}
   $$

2. **Calculate each term:**
   $$
   9^{2} = 81
   $$
   $$
   3 \times 9 \times 4 = 108
   $$
   $$
   4^{2} = 16
   $$

3. **Add the results together:**
   $$
   81 + 108 + 16 = 205
   $$

**Therefore, the value of the expression is 205.**

**Answer:** D) 205
The value of the expression is 205. **Answer:** D) 205

36, Consider the expression. \( x^{2}+3 x y+y^{2} \) If \( x=9 \), and \( y=4 \), what is the value of the expression? A 53 B 121 C 134 D 205