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(a-b)²=a²-2ab+b²
(a+b)(a-b)=a²-b²
=
√ (2+√5)² -2 √[ ( √5+2)(√5-2)] +√(√5-2)²=
2+√5-2√(5-4) +√5-2=
2√5-2=2(√5-1)