(x+5)×6+(x-3)²

To simplify the expression \((x+5) \times 6 + (x-3)^2\), we will follow these steps:

1. Distribute \(6\) in the first term.
2. Expand the square in the second term.
3. Combine like terms if possible.

Let's start:

1. Expand \((x+5) \times 6\):

\[ (x + 5) \times 6 = 6x + 30 \]

2. Expand \((x-3)^2\):

\[ (x - 3)^2 = x^2 - 6x + 9 \]

3. Now combine these two results:

\[ 6x + 30 + (x^2 - 6x + 9) \]

4. Combine like terms:

\[ 6x - 6x + x^2 + 30 + 9 = x^2 + 39 \]

So, the simplified expression is:

\[ \boxed{x^2 + 39} \]