Answer:
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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