162 Вправа 162Алгебра 8 клас Бевз 2025 · § 4 · стор. 37

162. Знайди суму дробів.

а) ${\displaystyle \frac{2^{\mathrm{\setminus }3}}{a}+\frac{5}{3a}=}$${\displaystyle \frac{6+5}{3a}=}$${\displaystyle \frac{11}{3a}}$;

б) ${\displaystyle \frac{{a+3c}^{\mathrm{\setminus }a}}{c}+\frac{{c-3a}^{\mathrm{\setminus }c}}{a}=}$${\displaystyle \frac{a(a+3c)+c(c-3a)}{ac}}$=

=${\displaystyle \frac{a^2+3ac+c^2-3ac}{ac}=}$${\displaystyle \frac{a^2+c^2}{ac}}$;

в) ${\displaystyle \frac{{3x-1}^{\mathrm{\setminus }4}}{3x}+\frac{{3-4x}^{\mathrm{\setminus }3}}{4x}=}$${\displaystyle \frac{4(3x-1)+3(3-4x)}{12x}}$=

=${\displaystyle \frac{12x-4+9-12x}{12x}=}$${\displaystyle \frac{5}{12x}}$.