Question

4xy+35z+32xy−243yx-24x
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Answer 1

Answer:

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into

              (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =

            a3+a2b+ab2-ba2-b2a-b3 =

            a3+(a2b-ba2)+(ab2-b2a)-b3 =

            a3+0+0-b3 =

            a3-b3

Check :  8  is the cube of   2 

Check :  y3 is the cube of   y1

Factorization is :

             (y - 2)  •  (y2 + 2y + 4) 

Trying to factor by splitting the middle term