helloucango12345 helloucango12345

19-08-2022
Mathematics

contestada

urgent ;
if a^3+b^3=11 and a^3-b^3=5, evaluate a^6-b^6

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LammettHash LammettHash

19-08-2022

Factorize using the difference of squares identity.

[tex]a^6 - b^6 = \left(a^3\right)^2 - \left(b^3\right)^2 = \left(a^3 - b^3\right) \left(a^3 + b^3\right)[/tex]

Then

[tex]a^6 - b^6 = 11 \cdot 5 = \boxed{55}[/tex]

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