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Solution - Simplification or other simple results

3x21410
3x^214-10

Step by Step Solution

Step  1  :

Equation at the end of step  1  :

  (3x213 • x) -  10

Step  2  :

Trying to factor as a Difference of Squares :

 2.1      Factoring:  3x214-10 

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 :  3  is not a square !!

Ruling : Binomial can not be factored as the
difference of two perfect squares

Final result :

  3x214 - 10

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