Question

p3-27 find the equation
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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 :  27  is the cube of   3  

Check :  p3 is the cube of   p1

Factorization is :

            (p - 3)  •  (p2 + 3p + 9)