246 Вправа 246Алгебра 8 клас Бевз 2025 · § 5 · стор. 53

246. Перемнож дроби.

а) ${\displaystyle \frac{2x}{y^2}\cdot \frac{y^4}{6x^3}\cdot \frac{9x}{y}\cdot \frac{-5y^3}{3x^2}=}$${\displaystyle \frac{2x\cdot y^4\cdot 9x\cdot (-5y^3)}{y^2\cdot 6x^3\cdot y\cdot 3x^2}}$=

=${\displaystyle -\frac{\cancel{2}\cancel{x}\cdot y\cancel{y^3}\cdot \cancel{3}\cdot \cancel{3}\cancel{x}\cdot 5y^3}{\cancel{y^2}\cdot \cancel{2}\cdot \cancel{3}x\cancel{x^2}\cdot \cancel{y}\cdot \cancel{3}{x}^2}=}$${\displaystyle -\frac{5y^4}{x^3}}$;

б) ${\displaystyle \frac{3}{a}\cdot \frac{b^2}{4a}\cdot \frac{a^3}{9b^3}\cdot \frac{8a}{b}=}$${\displaystyle \frac{3\cdot b^2\cdot a^3\cdot 8a}{a\cdot 4a\cdot 9b^3\cdot b}}$=

=${\displaystyle \frac{\cancel{3}\cdot \cancel{b^2}\cdot a\cancel{a^2}\cdot 2\cdot \cancel{4}a}{\cancel{a}\cdot \cancel{4}\cancel{a}\cdot 3\cdot \cancel{3}b\cancel{b^2}\cdot b}=}$${\displaystyle \frac{2a^2}{3b^2}}$.