1. Oblicz
...= (√(3-√5))² + 2*√((3-√5)(3+√5)) + (√(3+√5))² - ( 27 - 27√5 + 45 -5√5) =
= 3-√5 + 2*(√(9-5)) + 3+√5-(72-32√5)=
=6 + 2*√4 - 72 + 32√5=
=6 + 4 - 72 + 32√5=
= -62+32√5=
=2*(16√5-31)
(a+b)²=a²+2ab+b²
(a-b)(a+b)=a²-b²
(a-b)³=a³-3a²b+3ab²-b³
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...= (√(3-√5))² + 2*√((3-√5)(3+√5)) + (√(3+√5))² - ( 27 - 27√5 + 45 -5√5) =
= 3-√5 + 2*(√(9-5)) + 3+√5-(72-32√5)=
=6 + 2*√4 - 72 + 32√5=
=6 + 4 - 72 + 32√5=
= -62+32√5=
=2*(16√5-31)
(a+b)²=a²+2ab+b²
(a-b)(a+b)=a²-b²
(a-b)³=a³-3a²b+3ab²-b³