1. The problem asks to translate the expression \textit{a (b+c)} into an algebraic expression. 2. The expression \textit{a (b+c)} means that the variable $a$ is multiplied by the sum of $b$ and $c$. 3. The algebraic expression is simply written as $a(b+c)$. 4. According to the distributive property, this can also be expanded as: $$a(b+c) = ab + ac$$ 5. This means you multiply $a$ by $b$ and $a$ by $c$, then add the results. 6. So, the algebraic expression for \textit{a (b+c)} is $a(b+c)$ or equivalently $ab + ac$.