66 Вправа 66Алгебра 8 клас Бевз 2025 · § 2 · стор. 20

66. Запиши вираз у вигляді дробу і скороти його.

а) ${\displaystyle 24p^{2}x:48p{x}^2=}$${\displaystyle \frac{24p^{2}x}{48p{x}^2}=}$${\displaystyle \frac{\cancel{24px}\cdot p}{\cancel{24px}\cdot 2x}=}$${\displaystyle \frac{p}{2x}}$;

б) ${\displaystyle -3ax:12a^2{x}^3=}$${\displaystyle -\frac{\cancel{3ax}}{\cancel{3ax}\cdot 4a{x}^2}=}$${\displaystyle -\frac{1}{4a{x}^2}}$;

в) ${\displaystyle (a^{2}c+bc):(x{a}^2+xb)=}$${\displaystyle \frac{c\cancel{\left(a^2+b\right)}}{x\cancel{\left(a^2+b\right)}}=}$${\displaystyle \frac{c}{x}}$;

г) ${\displaystyle 16x^5{y}^4:4x{y}^6=}$${\displaystyle \frac{4x^4\cdot \cancel{4x{y}^4}}{\cancel{4x{y}^4}\cdot y^2}=}$${\displaystyle \frac{4x^4}{y^2}}$;

ґ) ${\displaystyle (a^2-3ac):(5a-15c)=}$${\displaystyle \frac{a\cancel{\left(a-3c\right)}}{5\cancel{\left(a-3c\right)}}=}$${\displaystyle \frac{a}{5}}$;

д) ${\displaystyle (c^2-n^2):(n-c)=}$${\displaystyle \frac{\cancel{\left(c-n\right)}(c+n)}{-\cancel{\left(c-n\right)}}=}$${\displaystyle -c-n}$.