96° Вправа 96Алгебра 8 клас Тарасенкова 2025 · § 2 · стор. 31

96. Скоротіть дріб.

Виносимо в чисельнику спільний:

1) ${\displaystyle \frac{3x-3y}{6x}=}$${\displaystyle \frac{\stackrel{1}{\cancel{3}}(x-y)}{\underset{2}{\cancel{6}}x}=}$${\displaystyle \frac{x-y}{2x}}$;

2) ${\displaystyle \frac{5x+5y}{10y}=}$${\displaystyle \frac{\stackrel{1}{\cancel{5}}(x+y)}{\underset{2}{\cancel{10}}y}=}$${\displaystyle \frac{x+y}{2y}}$;

3) ${\displaystyle \frac{4x-8y}{8y}=}$${\displaystyle \frac{\stackrel{1}{\cancel{4}}(x-2y)}{\underset{2}{\cancel{8}}y}=}$${\displaystyle \frac{x-2y}{2y}}$;

4) ${\displaystyle \frac{ab+bc}{6b}=}$${\displaystyle \frac{\cancel{b}(a+c)}{\cancel{b}\cdot 6}=}$${\displaystyle \frac{a+c}{6}}$;

5) ${\displaystyle \frac{ax+ay}{3ay}=}$${\displaystyle \frac{\cancel{a}(x+y)}{\cancel{a}\cdot 3y}=}$${\displaystyle \frac{x+y}{3y}}$;

6) ${\displaystyle \frac{xz-2yz}{2z}=}$${\displaystyle \frac{\cancel{z}(x-2y)}{\cancel{z}\cdot 2}=}$${\displaystyle \frac{x-2y}{2}}$;

7) ${\displaystyle \frac{4xy+6y^2}{2y}=}$${\displaystyle \frac{\cancel{2y}(2x+3y)}{\cancel{2y}}=}$${\displaystyle 2x+3y}$;

8) ${\displaystyle \frac{2ax+4ay}{4ay}=}$${\displaystyle \frac{\cancel{2a}(x+2y)}{\cancel{2a}\cdot 2y}=}$${\displaystyle \frac{x+2y}{2y}}$;

9) ${\displaystyle \frac{3bx-3by}{6ab}=}$${\displaystyle \frac{\cancel{3b}(x-y)}{\cancel{3b}\cdot 2a}=}$${\displaystyle \frac{x-y}{2a}}$.