Помогите, пожалуйста!
Упростите выражение (1 картинка).
Сократите дробь (2 картинка).
Упростите выражение (3 картинка).
![](https://st.uroker.com/files/819/81942722a675a59fa6ce725da9366f62.gif)
![](https://st.uroker.com/files/83d/83de496075112c1330f7e30fcd3f41b7.gif)
![](https://st.uroker.com/files/668/66884823dc8e9d68654b20b7d50527f1.gif)
Ответы
1
(-------------- )^(√2 +1) * a^(√2 +1) =
а^(√2 -1)
1
= ------------------------ *
a*a^(√2 ) =
a^(√2 -1)*(√2 +1)
a*a^(√2 )
a*a^(√2 )
= -------------------------- = -----------------
= a^(√2 )
a^(√2²-1² )
a
--------------------------------------------------------------------------------------------------
√a³-a
a√a -a a*(√a-1)
a
------------- = --------------- =
------------------- = -----------------
a-2a¹/²+1 (√a-1)²
(√a-1)²
√a-1
--------------------------------------------------------------------------------------------
∛x+ ∛y
∛x- ∛y
-------------------- - ------------------- =
x²/³ -∛xy +y²/³ ∛x²- ∛y²
∛x+ ∛y ∛x- ∛y
= -------------------- - ------------------------------------ =
x²/³ -∛xy +y²/³ ( ∛x- ∛y)( ∛x +∛y)
∛x+ ∛y 1
= -------------------- - --------------- =
x²/³ -∛xy +y²/³ ( ∛x +∛y)
(∛x+ ∛y)*( ∛x +∛y) - ( x²/³ -∛xy +y²/³ )
= ----------------------------- - --------------------------- =
( x²/³ -∛xy +y²/³) *( ∛x +∛y)
(∛x+ ∛y)² * - ( x²/³ -∛xy +y²/³ )
= ---------------------------------------------=
( ∛x+∛y)³
∛x²+2 ∛xy+∛y² - ∛x² +∛xy -∛y²
= --------------------------------------------- =
( ∛x+∛y)³
3∛xy
= -------------- =
( ∛x+∛y)³