(3+√5)(5-√5)(√5+1)²=(3+√5)·√5(√5-1)·(√5+1)·(√5+1)=√5(3+√5)·4·(√5+1)=
4√5·(3√5+3+5+√5)=4√5(4√5+8)=16√5(√5+2)=80+32√5.
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(3+√5)(5-√5)(√5+1)²=(3+√5)·√5(√5-1)·(√5+1)·(√5+1)=√5(3+√5)·4·(√5+1)=
4√5·(3√5+3+5+√5)=4√5(4√5+8)=16√5(√5+2)=80+32√5.