9m² - 3n² m - 4n 2m + n 5n² - 3m²
( ----------------- - --------------) : (---------------- - ------------------) =
4mn 5n 3m 16m²
5 * (9m² - 3n²) - 4m * (m - 4n) 16m * (2m + n) - 3* (5n² - 3m²)
= ------------------------------------------ : -------------------------------------------- =
4 * 5 * m * n 3 * 16m²
45m² - 15n² - 4m² + 16mn 48m²
= ---------------------------------------- * ------------------------------------------- =
20mn 32m² + 16mn - 15n² + 9m²
(41m² + 16mn - 15n²) * 48m² 4m * 12m 12m
= ------------------------------------------- = ----------------- = --------------
(41m² + 16mn - 15n²) * 20mn 4m * 5n 5n
---------------------------------------------------------------------------------------------------
p 2 1 10 - p²
(------------ + ----------- + ----------) : ( p - 2 + -------------) =
p² - 4 2 - p 2 + p 2 + p
p 2 1 p * (p + 2) - 2* (p + 2) + 10 - p²
=(------------------- - --------- + ----------) : (------------------------------------------) =
(p + 2)(p - 2) p - 2 p + 2 p + 2
p - 2 * (p + 2) + 1* (p - 2) p² + 2p - 2p - 4 + 10 - p²
= ------------------------------------- : ------------------------------------- =
(p + 2)(p - 2) p + 2
p - 2p - 4 + p - 2 p + 2 -6 * (p + 2) -1 1
= -------------------------- * ----------- = ------------------------ = --------- = -----------
(p + 2)(p - 2) 6 6 * (p + 2)(p - 2) p - 2 2 - p
-----------------------------------------------------------------------------------------------
4b + a 6b a² - 2ab + 4b²
(------------ + -------------) * (----------------------- + 1) =
2b a - 4b 4b² - a²
4b + a 6b 4b² - 2ab + a² + 4b² - a²
= ( ------------ - -------------) * ------------------------------------ =
2b 4b - a 4b² - a²
(4b + a)(4b - a) - 2b * 6b 8b² - 2ab
= ------------------------------------ * ----------------- =
2b * (4b - a) 4b² - a²
16b² - a² - 12b² 2b * (4b - a)
= ------------------------ * -------------------- =
2b * (4b - a) 4b² - a²
4b² - a²
= --------------- = 1
4b² - a²
-------------------------------------------------------------------------------------------------
m⁴ + 1 m² + 1 m³
( ------------- + 2) : -------------- - ------------- =
m² m m² - 1
m⁴ + 1 + 2m² m m³
= -------------------- * -------------- - ------------- =
m² m² + 1 m² - 1
(m² + 1)² * 1 m³ m² + 1 m³
= --------------------- - ------------- = ------------- - ------------- =
m * (m² + 1) m² - 1 m m² - 1
(m² + 1)(m² - 1) - m * m³ m⁴ - 1 - m⁴ -1 1
= ------------------------------------ = ------------------ = ------------ = ------------
m * (m² - 1) m³ - m m³ - m m - m³
-----------------------------------------------------------------------------------------------