Автор - lololowka06

Обчислити
1. 2a+5b/ab - 2a-3b/ab,
2. 5y/y^2-9 - 15/y^2-9
3. y^2+8y/4-y^2 - 4y-4/4-y^2

Ответ

Проверено экспертом

Автор - NNNLLL54

frac{2a+5b}{ab}-frac{2a-3b}{ab}=frac{2a+5b-2a+3b}{ab}=frac{8b}{ab}=frac{8}{a}\\\frac{5}{y^2-9}-frac{15}{y^2-9}=frac{5y-15}{(y-3)(y+3)}=frac{5, (y-3)}{(y-3)(y+3)}=frac{5}{y+3}\\\frac{y^2+8y}{4-y^2}-frac{4y-4}{4-y^2}=frac{y^2+8y-4y+4}{4-y^2}=frac{y^2+4y+4}{(2-y)(2+y)}=frac{(y+2)^2}{(2-y)(y+2)}=frac{y+2}{2-y}

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