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simplify (a^6 - b^6) ÷ (a^3-a^3) ÷ (a^2-ab+b^2)

Can anyone help me with this? I've spent a long time on this question and I can't figure it out. Tried it on wolfram alpha as well but it doesn't give me anything

thx

Respuesta :

[tex] (a^6 - b^6) \div (a^3-b^3) \div (a^2-ab+b^2)[/tex]

[tex]=((a^3)^2 - (b^3)^2) \div (a^3 - b^3) \div(a^2-ab+b^2)[/tex]

[tex] =\dfrac{(a^3 + b^3) (a^3 - b^3)}{(a^3 - b^3)} \div (a^2-ab+b^2)[/tex]

[tex]=(a^3 + b^3) \div (a^2-ab+b^2)[/tex]

[tex] =\dfrac{a^3 + b^3}{a^2-ab+b^2} [/tex]

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