65 Вправа 65Алгебра 8 клас Бевз 2025 · § 2 · стор. 20

65. НМТ. Скороти дріб.

а) ${\displaystyle \frac{a^2-25b^2}{10b+2a}=}$${\displaystyle \frac{(a-5b)\cancel{\left(a+5b\right)}}{2\cancel{\left(a+5b\right)}}=}$${\displaystyle \frac{a-5b}{2}}$;

б) ${\displaystyle \frac{27a^{3}b-12ab}{9a^3{b}^2-6a^2{b}^2}=}$${\displaystyle \frac{3ab(9a^2-4)}{3a^2{b}^2(3a-2)}}$=

=${\displaystyle \frac{\cancel{3ab}\cancel{\left(3a-2\right)}(3a+2)}{\cancel{3ab}\cdot ab\cancel{\left(3a-2\right)}}=}$${\displaystyle \frac{3a+2}{ab}}$;

в) ${\displaystyle \frac{a^2-4b^2}{3a+6b}=}$${\displaystyle \frac{(a-2b)\cancel{\left(a+2b\right)}}{3\cancel{\left(a+2b\right)}}=}$${\displaystyle \frac{a-2b}{3}}$.