1.
378 * 132 - 189 * 64
= 378 * 132 - 189 * 2 * 32
= 378 * 132 - 378 * 32
= 378 * ( 132 - 32 )
= 378 * 100
= 37800
2.
Số số hạng
( 48 - 15 ) : 3 + 1 = 12
Tổng
( 48 + 15 ) * 12 : 2 = 378
\(\frac{378\cdot132-189\cdot64}{15+18+21+...+45+48}\)
\(=\frac{189\cdot2\cdot64\cdot2-189\cdot64}{\left(15+48\right)\cdot\frac{\left[\left(48-15\right)\div3\right]}{2}}\)
\(=\frac{189\cdot2\cdot\left(2\cdot2-1\right)}{53\cdot6}\)
\(=\frac{189\cdot2\cdot3}{53\cdot6}\)
\(=\frac{189}{53}\)