\(a.145\times565+145\times54+56\times145\)
\(=145\times\left(565+54+56\right)\)
\(=145\times675\)
\(=97875\)
\(b.225\times104\)
\(=\left(100+4\right)\times225\)
\(=22500+900\)
\(=23400\)
\(c.1000:\left(20\times25\right)\)
\(=1000:500\)
\(=2\)
\(d.\left(206\times20\right):2\)
\(=206\times\left(20:2\right)\)
\(=206\times10=2060\)