Zadanie Wykonaj działania: (\frac{2}{x}+3)*x
(\frac{a}{5}-\frac{a}{b})/\frac{a}{b}
(\frac{2}{y}-1)*(\frac{y-3}{2-y}+1)
źródło:
( \frac{2}{x} +3)*x=\frac{2}{x}*x+3*x=2+3x
\frac{\frac{a}{5}-\frac{a}{b}}{ \frac{a}{b} }= \frac{ \frac{ab-5a}{5b} }{\frac{a}{b}}=\frac{a(b-5)}{5b}*\frac{b}{a}=\frac{b-5}{5}=\frac{1}{5}b-1
(\frac{2}{y} -1)( \frac{y-3}{2-y} +1)=\frac{2}{y}*\frac{y-3}{2-y}-\frac{y-3}{2-y}+ \frac{2}{y}-1=\frac{2y-6}{2y-y^2}-\frac{y-3}{2-y}+ \frac{2}{y}-1
cdn
(\frac{2}{y}-1)*(\frac{y-3}{2-y}+1)=\frac{2-y}{y}*\frac{y-3+2-y}{2-y}=\frac{1}{y}*(-3+2)=-\frac{1}{y}