c: \(102+101-100-99+98+97-96-95+...+6+5-4-3+2+1\)
\(=\left(102-100\right)+\left(101-99\right)+...+\left(6-4\right)+\left(5-3\right)+\left(2+1\right)\)
=2+2+...+2+3
\(=2\cdot50+3=103\)
\(18576:\left\{105^0+\left[2\cdot\left(102+101-100-99+...+6+5-4-3+2+1\right)-201\right]\right\}^3\)
\(=18576:\left\{1+\left[2\cdot103-201\right]\right\}^3\)
=18576:{1+5}3
=18576:216=86
a: \(46\left(2020+40\cdot102\right)+54\left(2020+40\cdot102\right)\)
\(=\left(2020+40\cdot102\right)\left(46+54\right)\)
\(=\left(2020+4080\right)\cdot100=6100\cdot100=610000\)
b: \(2345+\left[11^2-\left(575-572\right)^3+6\right]^2\)
\(=2345+\left[121-3^3+6\right]^2\)
\(=2345+\left(127-27\right)^2=2345+10000=12345\)
