Verified answer

[tex]57\cdot 32+43\cdot 32-100\cdot 31=57\cdot 32+43\cdot 32-100\left ( 32-1 \right )=\\=57\cdot 32+43\cdot 32-100\cdot 32+100=32\left ( 57+43-100 \right )+100=0+100=100[/tex]

57×32+43×32-100×31=

32(57+43)-100×31=

32×100-100×31=100(32-31)=100