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July 2022 1 2 Report

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mami25366 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

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