2. Выполните сложение или вычитание дробей: а) (4y−1)/(5y)−(2y−7)/(5y)+(3y−1)/(5y); б) (7x−3)/(4x)−(x−4)/(4x)−(5−2x)/(4x); в) (a−8)/(a²−25)+18/(a²−25); г) (b²−b)/(b²+6b+9)−(9−b)/(b²+6b+9); д) 8c/(c²−5c)−(10+c)/(c²−5c).

Question

Вопрос:

Accepted Answer

\(\dfrac{4y-1-2y+7+3y-1}{5y}=\dfrac{5y+5}{5y}=\dfrac{y+1}{y}\).
\(\dfrac{7x-3-x+4-5+2x}{4x}=\dfrac{8x-4}{4x}=\dfrac{2x-1}{x}\).
\(\dfrac{a-8+18}{a^2-25}=\dfrac{a+10}{a^2-25}\).
\(\dfrac{b^2-b-9+b}{(b+3)^2}=\dfrac{b^2-9}{(b+3)^2}=\dfrac{b-3}{b+3}\).
\(\dfrac{8c-10-c}{c(c-5)}=\dfrac{7c-10}{c(c-5)}\).

Ответ: а) \(\dfrac{y+1}{y}\); б) \(\dfrac{2x-1}{x}\); в) \(\dfrac{a+10}{a^2-25}\); г) \(\dfrac{b-3}{b+3}\); д) \(\dfrac{7c-10}{c(c-5)}\).