Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  32v2 -  100

Step  2  :

Trying to factor as a Difference of Squares :

 2.1      Factoring:  9v²-100 

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 :  9  is the square of  3 
Check : 100 is the square of 10
Check :  v²  is the square of  v¹ 

Factorization is :       (3v + 10)  •  (3v - 10) 

Final result :

  (3v + 10) • (3v - 10)