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Andrei [34K]
3 years ago
5

Simplify. 6x2x-8 9y2

Mathematics
1 answer:
kumpel [21]3 years ago
6 0

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

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