Question

(3x+5y)^2
-4z^2 factor​

Answer 1

Answer:

 2 • (3x - 5y2)

Step-by-step explanation:

(1): "y2"   was replaced by   "y^2".  

STEP

1

:

Equation at the end of step 1

 (3x -  5y2) • 2

STEP

2

:

Trying to factor as a Difference of Squares

2.1      Factoring:  3x-5y2  

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 - 5y2)