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, a3b3 deserve to be factored into(ab)•(a2+ab+b2)Proof:(ab)•(a2+ab+b2)=a3+a2b+ab2ba2b2ab3 =a3+(a2bba2)+(ab2b2a)b3=a3+0+0b3=a3b3Check: 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 multivariable trinomial using trial and errorFactorization fails
Trying to element a multi variable polynomial :1.3 Factoringa2  ab + b2Try to aspect this multivariable trinomial using trial and errorFactorization fails
Final an outcome :
(a  b) • (a2 + abdominal + b2) ———————————————————————— a2  ab + b2You are watching: A3 b3 ab a2 ab b2
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