Simplify the expression: ((m+7)^2 + 2(m+7) + 1) / (m+8)

Let x = m+7. The expression becomes (x^2 + 2x + 1) / (m+8). This simplifies to (x+1)^2 / (m+8). Substituting back x = m+7, we get (m+7+1)^2 / (m+8) = (m+8)^2 / (m+8). This further simplifies to m+8.

Answer: m+8