### Instruction: Expand the product ${(x+3)(x-8)}$.### Response: I need to multiply the two binomials by using the distributive property.
I can write ${(x+3)(x-8)}$ as $x(x-8) + 3(x-8)$.
Then, I can apply the distributive property again to each term and simplify.
I get $x(x-8) + 3(x-8) = x^2 - 8x + 3x - 24$.
Combining like terms, I get $x^2 - 5x - 24$.