### Reformatting the input :

Changes made to her input need to not affect the solution: (1): "b2" was changed by "b^2". 3 more similar replacement(s).

## Step 1 :

a3 - b3 simplify ———————————— a2 - ab + b2Trying to aspect as a difference of Cubes:1.1 Factoring: a3 - b3 concept : A difference of 2 perfect cubes, a3-b3 deserve to 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-b3Check: a3 is the cube that a1Check: b3 is the cube of b1Factorization is :(a - b)•(a2 + abdominal muscle + b2)

Trying to element a multi variable polynomial :

1.2 Factoringa2 + ab + b2Try to variable this multi-variable trinomial using trial and errorFactorization fails

Trying to element a multi variable polynomial :

1.3 Factoringa2 - ab + b2Try to aspect this multi-variable trinomial using trial and errorFactorization fails

## Final an outcome :

(a - b) • (a2 + abdominal + b2) ———————————————————————— a2 - ab + b2

You are watching: A3 b3 ab a2 ab b2

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