273 Вправа 273Алгебра 8 клас Бевз 2025 · § 6 · стор. 58

273. Знайди частку.

а) ${\displaystyle (a-4x^2):(16x^4-a^2)=}$${\displaystyle \frac{a-4x^2}{16x^4-a^2}}$=

=${\displaystyle -\frac{\cancel{\left(a-4x^2\right)}}{(4x^2+a)\cancel{\left(a-4x^2\right)}}=}$${\displaystyle -\frac{1}{4x^2+a}}$;

б) ${\displaystyle (x^2+x+1):(x^3-1)=}$${\displaystyle \frac{x^2+x+1}{x^3-1}}$=

=${\displaystyle \frac{\cancel{\left(x^2+x+1\right)}}{\cancel{\left(x^2+x+1\right)}(x-1)}=}$${\displaystyle \frac{1}{x-1}}$.