Question

factroize 3x-2ysquare​

Answer 1

Answer:

(3x - 2y2) • 2

STEP2:

Trying to factor as a Difference of Squares:

 2.1      Factoring:  3x-2y2 

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 :

2 • (3x - 2y2)