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Sto-Elementarnih-Zadataka-2005-A - MIM-Sraga
Sto-Elementarnih-Zadataka-2005-A - MIM-Sraga
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100 Elementarnih zadataka<br />
Koristeći se formulom<br />
riješi sljedeće zadatke:<br />
( ) 2 2 2 2<br />
a + b + c = a + b + c + 2ab + 2ac + 2bc<br />
( x y )<br />
59) + 2 + 3 =<br />
2<br />
( x y z)<br />
60) 2 + 3 + 4 =<br />
2<br />
( x y )<br />
61) 3 + − 3 =<br />
2<br />
Koristeći se formulom:<br />
rastavi na faktore:<br />
( ) ( )<br />
− = − ⋅ +<br />
2 2<br />
a b a b a b<br />
2<br />
62) x − 16 =<br />
2 2<br />
63) 4y<br />
− 36x<br />
=<br />
64)<br />
1 4 25 6<br />
x − y =<br />
4 49<br />
65)<br />
x<br />
− y =<br />
4 4<br />
66) 4xy<br />
− z =<br />
2 4 8<br />
( ) ( )<br />
2 2<br />
67) x+ y − x− 2y<br />
=<br />
( ) ( )<br />
2<br />
68) 36 x+ y −16<br />
x− y =<br />
2<br />
©<br />
M I M SRAGA 1999 / 2004<br />
7
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