Solution - Simplification or other simple results

Step  1  :

Trying to factor as a Difference of Squares :

 1.1      Factoring:  a²-b 

Put the exponent aside, try to factor  a²-b 

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 :  a²  is the square of  a¹ 

Check :  b¹   is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

  (a2 - b)2