188 Вправа 188Алгебра 8 клас Бевз 2025 · § 4 · стор. 40

188. НМТ. Спрости вираз (a² + ab)/(a + b)² − (2a + b)/(a + b).

${\displaystyle \frac{a^2+ab}{{(a+b)}^2}-\frac{{2a+b}^{\mathrm{\setminus }a+b}}{a+b}=}$${\displaystyle \frac{a^2+ab-(2a+b)(a+b)}{{(a+b)}^2}}$=

=${\displaystyle \frac{a^2+ab-2a^2-3ab-b^2}{{(a+b)}^2}=}$${\displaystyle \frac{-a^2-2ab-b^2}{{(a+b)}^2}}$=

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