Úprava zlomku
Uprav v \( \R \) a urč podmienky:
\( \large\frac{{5a-5b}}{{4a+4b}}\cdot\frac{{8a+8b}}{{15a-15b}} \)
\( \large\frac{5a-5b}{4a+4b}\cdot\frac{8a+8b}{15a-15b}=\frac{5\cdot\left(a-b\right)}{4\cdot\left(a+b\right)}\cdot\frac{8\cdot\left(a+b\right)}{15\cdot\left(a-b\right)}= \)
\( =\frac{2}{3} \)
\( \normalsize a\neq\pm b \)
\( \large\frac{5a-5b}{4a+4b}\cdot\frac{8a+8b}{15a-15b}=\frac{5\cdot\left(a-b\right)}{4\cdot\left(a+b\right)}\cdot\frac{8\cdot\left(a+b\right)}{15\cdot\left(a-b\right)}= \)
\( =\frac{1}{2} \)
\( \normalsize a\neq\pm b \)
\( \large\frac{5a-5b}{4a+4b}\cdot\frac{8a+8b}{15a-15b}=\frac{5\cdot\left(a-b\right)}{4\cdot\left(a+b\right)}\cdot\frac{8\cdot\left(a+b\right)}{15\cdot\left(a-b\right)}= \)
\( =\frac{3}{2} \)
\( \normalsize a\neq\pm b \)
\( \large\frac{5a-5b}{4a+4b}\cdot\frac{8a+8b}{15a-15b}=\frac{5\cdot\left(a-b\right)}{4\cdot\left(a+b\right)}\cdot\frac{8\cdot\left(a+b\right)}{15\cdot\left(a-b\right)}= \)
\( =\frac{4}{5} \)
\( \normalsize a\neq\pm b \)