Expand the product ${(2x+3)(x+5)}$.
To expand a product of two binomials, I can use the distributive property. I can write ${(2x+3)(x+5)}$ as ${2x(x+5) + 3(x+5)}$. Then, I can apply the distributive property again to each term. I get ${2x(x+5) + 3(x+5)} = {2x^2 + 10x + 3x + 15}$. Simplifying the like terms, I get ${2x^2 + 13x + 15}$. 