Question

(
$( \sqrt{5 } + 1) {}^{2} - ( \sqrt{5} + 2)( \sqrt{5} - 2) + ( \sqrt{5} - 1) ^{3}$
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Answer 1

Olá!

Eu vou simplificar para você!

$\left(\sqrt{5}+1\right)^2-\left(\sqrt{5}+2\right)\left(\sqrt{5}-2\right)+\left(\sqrt{5}-1\right)^3\\\\=6+2\sqrt{5}-\left(\sqrt{5}+2\right)\left(\sqrt{5}-2\right)+\left(\sqrt{5}-1\right)^3\\\\=6+2\sqrt{5}-\left(\sqrt{5}+2\right)\left(\sqrt{5}-2\right)+8\sqrt{5}-16\\\\=6+2\sqrt{5}-1+8\sqrt{5}-16\\\\=10\sqrt{5}-11$

Espero ter ajudado, tenha boas aulas!