RST UVW

Koristeći formule koje smo upravo obradili i ove nove koje vam dajem ovdje riješite sljedeće zadatke:
100 Elementarnih zadataka
36) x + 3 =
37) 2x+ 3y
=
38) 3x− 4y
=
39)
40)
( )
2
( )
( )
⎛1 2
⎜ x
⎝2 3
( x y)
2
2
2
3 ⎞
+ y =
⎛2 3 3 4⎞
⎜ x − y ⎟ =
⎝3 4 ⎠
−2
41) 5 − 6 =
( a y)
⎟
⎠
42) −2 − 3 =
2
2
( ) ( ) ( )
2 2
( a+ b) = ( b+
a)
( ) ( ) ( )
2 2
( a− b) = ( b−a)
( −a− b) = ( a+
b)
( ) ( )
( ) 3 3
( ) 3 3
( )
ALGEBARSKI IZRAZI
2 2 2
a+ b = a+ b ⋅ a+ b = a + 2ab+
b
2 2 2
a− b = a−b ⋅ a− b = a − 2ab+
b
2 2
a−b ⋅ a+ b = a −b
2 2
3 3 2 2 3
a+ b = a + a b+ ab + b
3 3 2 2 3
a− b = a − a b+ ab −b
( ) ( )
( ) ( )
a − b = a−b ⋅ a + ab+
b
3 3 2 2
a + b = a+ b ⋅ a − ab+
b
3 3 2 2
2 2 2 2
a+ b+ c = a + b + c + 2ab+ 2ac+
2bc
( x ) ( x )
43) 2 −5 ⋅ 2 + 5 =
44)
⎛2 2 4 3⎞ ⎛2 2 4 3⎞
⎜ x − y ⎟⋅ ⎜ x + y ⎟ =
⎝3 5 ⎠ ⎝3 5 ⎠
2 3 4 5 6 2 3 4 5 6
45) ( 3x y z −4a b ) ⋅(
3x y z −4a b ) =
( x )
46) + 3 =
3
2
( x ) ( x )
47) + 2 ⋅ + 2 =
( y z)
48) 2 − 3 =
3
49)
3
⎛1 1 ⎞
⎜ + x ⎟ =
⎝2 3 ⎠
50)
⎛2 2 3 3⎞
⎜ x − y ⎟ =
⎝3 2 ⎠
3
( )
2 3 4
51) 3x y − 2z
=
3
52)
( x y) ( x y)
3 3
+ − − =
© M I M SRAGA 1999 / 2004
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