Given the expression: x+1 ÷ ?/x^2+16x+64 simplifies to x+8, what would the original numerator need to be?

Answer 1

x^2 + 9x + 8 = original numerator

or (x+1)(x+8) = original numerator

that cancels out the x+1 in the numerator and one of the x+8 factors down below