Simplify
4x+3y2-724+524+11-4x+y2

 4y2 - 189

Step-by-step explanation:

Equation at the end of step  1  :

 4x+3y2)-724)+524)+11)-4x)+y2

Step  2  :

Trying to factor as a Difference of Squares :

2.1      Factoring:  4y2-189

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 :  4  is the square of  2

Check : 189 is not a square !!

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

Final result :

 4y2 - 189

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