If x + y = 8 and xy = 15, what is the value of x ² + 6xy + y ²

To find the value of x² + 6xy + y², we can use the given equations x + y = 8 and xy = 15. We can rewrite x² + 6xy + y² as (x + y)² + 4xy. Substituting the values from the given equations: (x + y)² + 4xy = (8)² + 4(15) = 64 + 60 = 124 Therefore, the value of x² + 6xy + y² is 124.