Solution - Other Factorizations

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "s2"   was replaced by   "s^2". 

Step  1  :

            x
 Simplify   —
            1

Equation at the end of step  1  :

  ((arc2o • (s2)) • x) -  x2

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   arc²os²x - x²  =   x • (arc²os² - x) 

Trying to factor as a Difference of Squares :

 3.2      Factoring:  arc²os² - x 

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 :  a¹   is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

  x • (arc2os2 - x)