Certainly! Let's break down the given expression step-by-step:
We start with the expression:
[tex]\[ a \times (b + c) \][/tex]
To solve this, we apply the distributive property of multiplication over addition. The distributive property states that for any numbers \(a\), \(b\), and \(c\), the following relationship holds:
[tex]\[ a \times (b + c) = (a \times b) + (a \times c) \][/tex]
So, by distributing \(a\) across the terms inside the parentheses, we get:
[tex]\[ a \times (b + c) = a \times b + a \times c \][/tex]
Thus, the expression \(a \times (b + c)\) simplifies to \(a \times b + a \times c\).
This is the final answer. To summarize:
[tex]\[ a \times (b + c) = a \times b + a \times c \][/tex]
