219° Вправа 219Алгебра 8 клас Тарасенкова 2025 · § 6 · стор. 65

219. Виконайте ділення.

1) ${\displaystyle \frac{9a^2}{2}:18=}$${\displaystyle \frac{9a^2}{2}\cdot \frac{1}{18}=}$${\displaystyle \frac{\stackrel{1}{\cancel{9}}{a}^2}{2\cdot \underset{2}{\cancel{18}}}=}$${\displaystyle \frac{a^2}{4}}$;

2) ${\displaystyle \frac{14b}{3}:28b^2=}$${\displaystyle \frac{14b}{3}\cdot \frac{1}{28b^2}=}$${\displaystyle \frac{\cancel{14b}}{3\cdot \cancel{14b}\cdot 2b}=}$${\displaystyle \frac{1}{6b}}$;

3) ${\displaystyle \frac{36x^2}{5}:(-24x^3)=}$${\displaystyle \frac{36x^2}{5}\cdot \left(-\frac{1}{24x^3}\right)=}$${\displaystyle -\frac{\cancel{12x^2}\cdot 3}{5\cdot \cancel{12x^2}\cdot 2x}=}$${\displaystyle -\frac{3}{10x}}$;

4) ${\displaystyle (a+2):\frac{4+2a}{3}=}$${\displaystyle (a+2)\cdot \frac{3}{2\left(2+a\right)}=}$${\displaystyle \frac{3}{2}}$;

5) ${\displaystyle (3b-12):\frac{4-b}{3}=}$${\displaystyle 3(b-4)\cdot \frac{3}{-\left(b-4\right)}=}$${\displaystyle -9}$;

6) ${\displaystyle (a-4a^2):\frac{4a-1}{a}=}$${\displaystyle a(1-4a)\cdot \frac{a}{-\left(1-4a\right)}=}$${\displaystyle -a^2}$.