Solution - Simplification or other simple results

Step  1  :

Trying to factor as a Difference of Squares :

 1.1      Factoring:  c³²⁹⁰-16 

Theory : A difference of two perfect squares,  A² - B²  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =
         A² - AB + BA - B² =
         A² - AB + AB - B² =
         A² - B²

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 16 is the square of 4
Check :  c³²⁹⁰  is the square of  c¹⁶⁴⁵ 

Factorization is :       (c¹⁶⁴⁵ + 4)  •  (c¹⁶⁴⁵ - 4) 

Final result :

  (4 + c1645) • (c1645 - 4)