Answer:
x² + 8x + 16
Step-by-step explanation:
You can draft the Pascal's Triangle as below;
Exponent
1-----------------------0
1 1 -------------------1
1 2 1 ------------------2
1 3 3 1 -----------------3
According to the question, we use values for exponent 2 because (a+b)²
Given (x+4)²...................................expand
x² × 4⁰ + x¹ × 4¹+ x⁰ × 4²
x² × 1 + x × 4 + 1 × 16
x² + 4x + 16---------------------------------introduce values in exponential 2 of the table which are 1 2 1
x² × 1 + 2 × 4x + 16 × 1
⇒ x² + 8x + 16
