Question

Using distributive property of multiplication over addition, simplify:
$397\times 27+397\times 13$

Answer 1

For find $397\times 27+397\times 13$:
This expression can be written as:
$=397\times \left(27+13\right)$ (By distributive property states that: $a\times b+a\times c=a\times \left(b+c\right)$
$$\begin{gathered} =397\times 40 \\ =15880 \end{gathered}$$
Hence, $397\times 27+397\times 13=15880$ is the required solution.