ggT und kgV bestimmen
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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+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:
abclist abc kgV: uvw ggT: v abc kgV: n^ ggT: n^ abc kgV: aa+b ggT: abc kgV: i+ ggT: i+ abc kgV: zz- ggT: z abc kgV: t- ggT: t- abc kgV: hh- ggT: hh- abc kgV: abca+b ggT: ba+b abc kgV: pp- ggT: p- abc kgV: uvu-v ggT: abc kgV: r-r-r+ ggT: r- abc kgV: x-y^x+y ggT: x-y abc kgV: w-z-^ ggT: z- abc kgV: a^b^ ggT: a^b abc kgV: t- ggT: t- abc kgV: gg+ ggT: abc kgV: xx+yx-y^ ggT: x-y abc kgV: a-cc-da+c ggT: a-c abc kgV: uvu+v^u-v ggT: vu+v abclist
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+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:
abclist abc kgV: uvw ggT: v abc kgV: n^ ggT: n^ abc kgV: aa+b ggT: abc kgV: i+ ggT: i+ abc kgV: zz- ggT: z abc kgV: t- ggT: t- abc kgV: hh- ggT: hh- abc kgV: abca+b ggT: ba+b abc kgV: pp- ggT: p- abc kgV: uvu-v ggT: abc kgV: r-r-r+ ggT: r- abc kgV: x-y^x+y ggT: x-y abc kgV: w-z-^ ggT: z- abc kgV: a^b^ ggT: a^b abc kgV: t- ggT: t- abc kgV: gg+ ggT: abc kgV: xx+yx-y^ ggT: x-y abc kgV: a-cc-da+c ggT: a-c abc kgV: uvu+v^u-v ggT: vu+v abclist