a, 4 x 113 x 8 - 32 x 13
= (4 x 8) x 113 - 32 x 13
= 32 x 113 - 32 x 13
= 32 x (113 - 13)
= 32 x 100 = 3200
b , 54 x 227 + 45 x 227 + 227
= 227 x (54+45+1)
= 227 x 100
= 22 700
c, ( 145 x 99 + 145 ) - ( 143 x101 - 143 )
= 145 x (99+1) - 143 x (101 - 1)
= 145 x 100 - 143 x 100
= 100 x (145 - 143)
= 100 x 2
= 200
a) \(4\times113\times8-32\times13\)
\(=4\times8\times113-32\times13\)
\(=32\times113-32\times13\)
\(=32\times\left(113-13\right)\)
\(=32\times100\)
\(=3200\)
b) \(54\times227+45\times227+227\)
\(=227\times\left(54+45+1\right)\)
\(=227\times100\)
\(=22700\)
c) \(\left(145\times99+145\right)-\left(143\times101-143\right)\)
\(=145\times\left(99+1\right)-143\left(101-1\right)\)
\(=145\times100-143\times100\)
\(=14500-14300\)
\(=200\)