Úprava zlomku
Uprav v \( \R \) a urč podmienky:
\( \large\frac{a^2-b^2}{a^2}\cdot\frac{a}{\left(a+b\right)^2} \)
\( \large\frac{a^2-b^2}{a^2}\cdot\frac{a}{\left(a+b\right)^2}=\frac{\left(a+b\right)\left(a-b\right)\cdot a}{a^2\cdot\left(a+b\right)^2}= \)
\( \large=\frac{a-b}{a^2\cdot\left(a+b\right)} \)
\( \normalsize a\neq0,a\neq-b \)
\( \large\frac{a^2-b^2}{a^2}\cdot\frac{a}{\left(a+b\right)^2}=\frac{\left(a+b\right)\left(a-b\right)\cdot a}{a^2\cdot\left(a+b\right)^2}= \)
\( \large=\frac{a-b}{a\cdot\left(a+b\right)} \)
\( \normalsize a\neq0,a\neq-b \)
\( \large\frac{a^2-b^2}{a^2}\cdot\frac{a}{\left(a+b\right)^2}=\frac{\left(a+b\right)\left(a-b\right)\cdot a}{a^2\cdot\left(a+b\right)^2}= \)
\( \large=\frac{a-b}{a\cdot\left(a-b\right)} \)
\( \normalsize a\neq0,a\neq-b \)
\( \large\frac{a^2-b^2}{a^2}\cdot\frac{a}{\left(a+b\right)^2}=\frac{\left(a+b\right)\left(a-b\right)\cdot a}{a^2\cdot\left(a+b\right)^2}= \)
\( \large=\frac{a+b}{a\cdot\left(a-b\right)} \)
\( \normalsize a\neq0,a\neq-b \)