Mathematrix: Aufgabenbeispiele/ Bruchterme in Brüchen mit gemeinsamen Nenner umwandeln

In den folgenden Aufgaben finden Sie jeweils den gemeinsamen
Nenner bringen Sie die Brüche auf diesen Nenner :

$\quad$A) $\quad {\frac {5s}{a^{3}\ t^{6}\ x}}-{\frac {2z}{a^{2}\ t^{7}\ x\ s}}$

$\quad$B) $\quad {\frac {5s}{a^{3}w^{2}(t-1)(t+1)^{5}(t-3)}}-{\frac {2z}{a^{2}w^{5}p(t-1)^{2}(t+1)^{2}(q^{2}+7+r)^{2}}}$

$\quad$A) $\quad {\frac {5s}{a^{3}\ t^{6}\ x}}-{\frac {2z}{a^{2}\ t^{7}\ x\ s}}\qquad$Gemeinsamer Nenner: ${a^{3}\ t^{7}\ x\ s}$

$\quad$ ${\frac {5s}{a^{3}\ t^{6}\ x}}-{\frac {2z}{a^{2}\ t^{7}\ x\ s}}={\frac {5s\cdot (t\ s)}{a^{3}\ t^{7}\ x\ s}}-{\frac {2z\cdot (a\ )}{a^{3}\ t^{7}\ x\ s}}={\frac {5s^{2}\ t-2z\ a\ }{a^{3}\ t^{7}\ x\ s}}$



$\quad$B) $\quad {\frac {5s}{a^{3}w^{2}(t-1)(t+1)^{5}(t-3)}}-{\frac {2z}{a^{2}w^{5}p(t-1)^{2}(t+1)^{2}(q^{2}+7+r)^{2}}}$

$\quad$Gemeinsamer Nenner: $\quad {a^{3}w^{5}p(t-1)^{2}(t+1)^{5}(t-3)(q^{2}+7+r)^{2}}$

$\quad$${\frac {5s}{a^{3}w^{2}(t-1)(t+1)^{5}(t-3)}}-{\frac {2z}{a^{2}w^{5}p(t-1)^{2}(t+1)^{2}(q^{2}+7+r)^{2}}}=$

$\quad$${\frac {5s\cdot w^{3}p(t-1)(q^{2}+7+r)^{2}}{a^{3}w^{5}p(t-1)^{2}(t+1)^{5}(t-3)(q^{2}+7+r)^{2}}}-{\frac {2z\cdot a(t+1)^{3}(t-3)}{a^{3}w^{5}p(t-1)^{2}(t+1)^{5}(t-3)(q^{2}+7+r)^{2}}}=$

$\quad$${\frac {5s\cdot w^{3}p(t-1)(q^{2}+7+r)^{2}-2z\cdot a(t+1)^{3}(t-3)}{a^{3}w^{5}p(t-1)^{2}(t+1)^{5}(t-3)(q^{2}+7+r)^{2}}}$