Question

(1-√5)^5 - (1 +√5)^5

Answer 1

=357.7708764 essa e a resposta espero que ajude

Answer 2

(1-√5)^5 - (1 +√5)^5 ==> 

1 - 2V5 + 5 ==> (6 - 2V5)(6-2V5) ==> ( 36 - 24V5 + 20) 

(56 - 24V5)(1-V5) = 56 - 56V5 - 24V5 + 24.5 ==> 176 - 80V5

(x – 2y)5 = x5*1 + x4*(–2y) + x³*(4y) + x² * (–8y) + x*(16y) + 1*(–32y) 

(1-√5)^5= (1)^5 + 1^4.(-V5) + 1^3.(-V5)2 + 1^2.(-V5)3+ 1^1.(-V5)4+ (-V5)5

1 - V5 + 5 - 5V5 + 5.5 - 25V5 ==> 31 - 31V5
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(1+√5)^5 =(1)^5+ 1^4.(+V5) + 1^3.(+V5)2 + 1^2.(+V5)3+ 1^1.(+V5)4+ (+V5)5

1  V5 + 5 + 5V5 + 5.5 + 25V5 ==> 31 + 31V5  
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(1-√5)^5 - (1 +√5)^5 = 31 - 31V5 - ( 31 + 31V5 ) => 31 - 31V5 - ( 31 + 31V5 )

==> 31 - 31V5 - 31 - 31V5  ==> - 62V5