Compute $26\times33+67\times26$.
Rearranging the terms, we find that this is equal to $26\times(33+67)=26\times(100)=\boxed{2600}$.
2600
Level 1
Algebra
Problem: Compute $26\times33+67\times26$.
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To solve the expression $26\times33+67\times26$, we can factor out the common term $26$. This is based on the distributive property of multiplication over addition. 

First, we rewrite the expression as:
$26 \times (33 + 67)$.

Next, we compute the sum inside the parentheses:
$33 + 67 = 100$.

Now, we substitute this back into the expression:
$26 \times 100$.

Finally, we perform the multiplication:
$26 \times 100 = 2600$.

Thus, the final answer is $2600$.<|END_OF_LATENT|> The final answer is $2600$.