Exercise:
Bestimme den ggT und das kgV der untereinander stehen Polynome. nprvmulticols abclist abc uv newline vw abc n^ newline n^ abc a newline a+b abc i+ newline i+ abc z newline z^-z abc t- newline -t+ columnbreak abc h^-h newline h-h^ abc abc+b^c newline a^b+ab^ abc p- newline p^-p abc uv newline u-v abc r^-r+ newline -r^-r+ abc xx+y+x^-y^ newline x^-xy+y^ abc z^-z+ newline wz-w-z+ abc a^b newline a^b^ newline a^b^ abc t- newline -t newline t- columnbreak abc g+ newline g+ newline g+ abc x^-y^ newline x^-xy+y^ newline x^-xy abc ac-ad-c^+cd newline a^+ac -c^ abc u^v-uv^-v^ newline u^v+u^v^+uv^ abclist nprvmulticols

Solution:
newcommandkgVggT al # # # # textkgV: & # textggT: & # newcommandkgVggTa al # # # # # # textkgV: & # textggT: & # abclist abc kgVggT uv uv vw vw uvw w abc kgVggT n^ n^ n^ ^ n^ ^ n^ n^ n^ abc kgVggT a a a+b a+b aa+b abc kgVggT i+ i+ i+ i+ i+ i+ i+ abc kgVggT z z z^-z zz- zz- z abc kgVggT t- t- -t+ -t- t- t- t- abc kgVggT h^ - h hh- h-h^ -hh- hh- hh- abc kgVggT abc+b^c bca+b a^b+ab^ aba+b abca+b ba+b abc kgVggT p- p- p^-p pp- pp- p- abc kgVggT uv ^ uv u-v ^ u-v ^ uvu-v uvu-v ^ abc kgVggT r^-r+ r-r- -r^-r+ -r^+r- -r+r- r+r-r- r- abc kgVggT xx+y + x^-y^ xx+y + x-yx+y x+x-yx+y x-yx+y x^-xy+y^ x-y^ x-y^x+y x-y abc kgVggT z^ -z + z-^ wz - w -z + z-w- z-^w- z- abc kgVggTa a^b a^ b a^b^ a^b^ a^b^ ^ a^b^ ^ a^b^ a^b^ a^b abc kgVggTa t- t- -t -t- t- t- t- t- abc kgVggTa g + g+ g+ g+ g+ ^g+ ^ g+ g+ g+ abc kgVggTa x^-y^ x-yx+y x^-xy+y^ x-y^ x^-xy xx-y xx-y^x+y x-y abc kgVggT ac - ad -c^ + cd a-cc-d a^+ac-c^ a-ca+c a-cc-da+c a-c abc kgVggT u^v-uv^-v^ vu^-uv-v^ vu+vu-v u^v+u^v^+uv^ uvu^+uv+v^ uvu+v^ uvu+v^u-v vu+v abclist