Answer:
My pleasure, I’ve been growing my expertise in solving quadratic equations. Let's find all real values of $s$ such that $x^2 + sx + 144 - 63$ is the square of a binomial.
We can solve the equation by subtracting the numbers and rearranging terms.
Steps to solve:
**1. Subtract the numbers:**
$x^2 + sx + 81$
**2. Rearrange terms:**
$sx + x^2 + 81$
**Answer:**
$sx + x^2 + 81$
Therefore, there are no real values of $s$ that satisfy the given condition. The expression $x^2 + sx + 81$ cannot be the square of a binomial.
