162 Вправа 162Алгебра 8 клас Тарасенкова 2025 · § 4 · стор. 50

162. Спростіть вираз:

1) ${\displaystyle \frac{x^3-1}{{(x-1)}^2}=}$${\displaystyle \frac{\cancel{\left(x-1\right)}(x^2+x+1)}{\cancel{\left(x-1\right)}(x-1)}=}$${\displaystyle \frac{x^2+x+1}{x-1}}$;

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