a) 23x51+75x23-23x25=23x(51+75-26)=23x100=2300
b) 1+2+3+...+20=\(\dfrac{\left(20+1\right)\text{x}20}{2}\)=210
a) \(23\times51+75\times23-23\times26\)
\(=23\times\left(51+75-26\right)\)
\(=23\times\left(126-26\right)\)
\(=23\times100\)
\(=2300\)
b) \(1+2+...+20\)
\(=\left(20+1\right)+\left(19+2\right)+\left(18+3\right)+\left(17+4\right)+...+\left(11+10\right)\)
\(=21+21+21+...+21\) (10 số 21)
\(=2100\)