6x3 - 89y2
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((6 • (x2)) • x) - 89y2
Step 2 :
Equation at the end of step 2 :
((2•3x2) • x) - 89y2
Step 3 :
Trying to factor as a Difference of Cubes:
3.1 Factoring: 6x3-89y2
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 : 6 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
Final result :
6x3 - 89y2
