Expand the product ${(x+3)(x-8)}$.
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 $x^2 - 5x - 24$. 