Let's begin by identifying key information given to us:
[tex]\begin{gathered} (a\cdot b)+(a\cdot c) \\ \Rightarrow ab+ac \\ \text{Both terms have ''a'', so we will factor it out. We have:} \\ a(b+c) \\ \\ \therefore(a\cdot b)+(a\cdot c)=a(b+c) \end{gathered}[/tex]
Hence, A [a (b+ c)] is the answer
