To determine which expression is equivalent to \(12 \times 8\), we can apply the distributive property of multiplication over addition.
The expression that matches this requirement is:
\[ (8 \times 10) + (8 \times 2) \]
This is because, by distributing \(8\) across \(12\) (which can be expressed as \(10 + 2\)), we get:
\[ 12 \times 8 = (10 + 2) \times 8 = (8 \times 10) + (8 \times 2) \]
Thus, the correct response is:
\((8 x 10) + (8 x 2)\)