Question

ex2 a b c d va rog


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Answer 1

a)
(2+√2)²-(2√2-3)² =
se aplica formula    a²-b²=(a+b)(a-b)
=(2+√2+2√2-3) (2+√2-2√2+3) =
=(3√2-1) (5-√2)


b) (3-√3)²+(√3+2)²=
folosim formula (a+b)²=a²+2ab+b²
=9-6√3+3+3+4√3+4=
=19-2√3

c) (√3-1)²+(2√3+1)²=
folosim formula (a+b)²=a²+2ab+b²
=3-2√3+1+12+4√3+1=
=17+2√3


d) (2√3-1)²-(2√2-1)(2√2+1)=
folosim formula (a-b)²=a²-2ab+b²  si (a-b)(a+b)=a²-b²
=12-4√3+1-8+1=
=6-4√3