\[\boxed{\text{292.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[564 \cdot 70 - 564 \cdot 60 =\]
\[= 564 \cdot (70 - 60) = 564 \cdot 10 =\]
\[= 5\ 640.\]
\[809 \cdot 62 + 809 \cdot 38 =\]
\[= 809 \cdot (62 + 38) = 809 \cdot 100 =\]
\[= 80\ 900.\ \]