Produto notável/Fatoração
Poderiam me ajudar com essa letra d) ???
Anexos:

caiooliveira03p2z3x2:
O gabarito é 1/a^3 - a
Soluções para a tarefa
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![[ \dfrac{1}{2} ( \dfrac{1}{ (a-1)^{2} }+ \dfrac{1}{ (a+1)^{2} } )- \dfrac{1}{ a^{2}-1 } ]\div ( \dfrac{a}{a-1}- \dfrac{a}{a+1} ) \\ [ \dfrac{1}{2} ( \dfrac{1}{ (a-1)^{2} }+ \dfrac{1}{ (a+1)^{2} } )- \dfrac{1}{ a^{2}-1 } ]\div ( \dfrac{a}{a-1}- \dfrac{a}{a+1} ) \\](https://tex.z-dn.net/?f=%5B++%5Cdfrac%7B1%7D%7B2%7D+%28+%5Cdfrac%7B1%7D%7B+%28a-1%29%5E%7B2%7D+%7D%2B+%5Cdfrac%7B1%7D%7B+%28a%2B1%29%5E%7B2%7D+%7D++%29-+%5Cdfrac%7B1%7D%7B+a%5E%7B2%7D-1+%7D+%5D%5Cdiv+%28+%5Cdfrac%7Ba%7D%7Ba-1%7D-+%5Cdfrac%7Ba%7D%7Ba%2B1%7D++%29+%5C%5C)
![[ \dfrac{1}{2} ( \dfrac{ (a+1)^{2}+ (a-1)^{2} }{ (a-1)^{2}* (a+1)^{2} } )- \dfrac{1}{ a^{2}-1 }]\div [ \dfrac{a(a+1)-a(a-1)}{(a-1)(a+1)}] [ \dfrac{1}{2} ( \dfrac{ (a+1)^{2}+ (a-1)^{2} }{ (a-1)^{2}* (a+1)^{2} } )- \dfrac{1}{ a^{2}-1 }]\div [ \dfrac{a(a+1)-a(a-1)}{(a-1)(a+1)}]](https://tex.z-dn.net/?f=%5B+%5Cdfrac%7B1%7D%7B2%7D+%28+%5Cdfrac%7B+%28a%2B1%29%5E%7B2%7D%2B+%28a-1%29%5E%7B2%7D++%7D%7B+%28a-1%29%5E%7B2%7D%2A+%28a%2B1%29%5E%7B2%7D++%7D+%29-+%5Cdfrac%7B1%7D%7B+a%5E%7B2%7D-1+%7D%5D%5Cdiv+%5B+%5Cdfrac%7Ba%28a%2B1%29-a%28a-1%29%7D%7B%28a-1%29%28a%2B1%29%7D%5D+)
![[ \dfrac{1}{2} ( \dfrac{a^{2}-2a+1+ a^{2}-2a+1 }{ (a-1)^{2}* (a+1)^{2} } )- \dfrac{1}{ a^{2} -1 } ]\div \dfrac{ a^{2}+a- a^{2}+a }{ a^{2}-1 } [ \dfrac{1}{2} ( \dfrac{a^{2}-2a+1+ a^{2}-2a+1 }{ (a-1)^{2}* (a+1)^{2} } )- \dfrac{1}{ a^{2} -1 } ]\div \dfrac{ a^{2}+a- a^{2}+a }{ a^{2}-1 }](https://tex.z-dn.net/?f=%5B+%5Cdfrac%7B1%7D%7B2%7D+%28+%5Cdfrac%7Ba%5E%7B2%7D-2a%2B1%2B+a%5E%7B2%7D-2a%2B1++%7D%7B+%28a-1%29%5E%7B2%7D%2A+%28a%2B1%29%5E%7B2%7D++%7D+%29-+%5Cdfrac%7B1%7D%7B++a%5E%7B2%7D+-1+%7D+%5D%5Cdiv++%5Cdfrac%7B+a%5E%7B2%7D%2Ba-+a%5E%7B2%7D%2Ba++%7D%7B+a%5E%7B2%7D-1+%7D+)
continua no anexo .
continua no anexo .
Anexos:

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