(2a^-3b^2)^3 simplify
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((2 • (a3)) - (3b2))3
=((2 • (a3)) - (3b2))3
Factoring: 2a3-3b2
(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 : 2 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
=((2 • (a3)) - (3b2))3
Factoring: 2a3-3b2
(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 : 2 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
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