Question

Zapisz w jak najprostszej postaci
a) s²t-(s²t-(s²t-s²t)))
b) x²yz-(xy²z-(xyz²-(x²yz-xy²z)))

Answer 1

s²t - (st² - (s²t - (st² - s²t)))
s²t-(st²-(s²t-st²+s²t))=
s²t-(st²-s²t+st²-s²t)=
s²t-st²+s²t-st²+s²t=3s²t-2st²

x²yz - (xy²z - (xyz² - (x²yz - xy²z)))
x²yz-(xy²z-(xyz²-x²yz+xy²z))=
x²yz-(xy²z-xyz²+x²yz-xy²z)=
x²yz-xy²z+xyz²-x²yz+xy²z=xyz²

Answer 2

A) s²t-(s²t-(s²t-s²t))) = s²t-(s²t-0)= s²t-s²t=0

b) x²yz-(xy²z-(xyz²-(x²yz-xy²z))) =
x²yz-xy²z+xyz²-x²yz+xy²z= xyz²