768 Вправа 768Алгебра 8 клас Бевз 2025 · § 15 · стор. 146

768. Спрости вираз.

а) ${\displaystyle \sqrt{x^2-2xy+y^2}=}$${\displaystyle \sqrt{{(x-y)}^2}=}$${\displaystyle \left|x-y\right|}$;

б) ${\displaystyle \sqrt{{(2n-1)}^2{(n^4+1)}^2}}$=

=${\displaystyle |2n-1|\cdot |n^4+1|=}$${\displaystyle \left(n^4+1\right)\left|2n-1\right|}$.

(${\displaystyle n^4+1>0}$, тому ${\displaystyle |n^4+1|=}$${\displaystyle n^4+1}$)