ALGEBARSKI IZRAZI

M-1-Kvadrat binoma
Rješenja i kompletni postupak
34. Kvadriramo po pravilu: A+ B = A + 2⋅A⋅ B+ B i A− B = A −2⋅A⋅ B+
B
To pravilo možemo pisati i ovako:
( )
2 2 2
6) x− 5 = x −2⋅x⋅ 5 + 5 =
x
10x
25
2
= − +
( ) ( )
2 2 2 2 2 2
( ) i ( )
2 2 2 2 2
I + II = I + 2⋅I ⋅ II + II I − II = I −2⋅I ⋅ II + II
2
( )
2 2 2
7) 2 − x = 2 −2⋅2⋅ x+ x =
= 4− 4 +
2
x x →
to možemo pisati i dalje:
2
= x − x+
4 4
( )
2 2 2
8) 2 + x = 2 + 2⋅2⋅ x+ x =
= + + = + +
2 2
4 4x x x 4x
4
dobro je kako god napišete ...
( )
( )
( )
( )
2 2 2
9) x− 1 = x −2⋅x⋅ 1+ 1 =
2
= x − x+
2 1
2 2 2
10) x− 4 = x −2⋅x⋅ 4+ 4 =
2
= x − x+
8 16
2 2 2
11) a− 2 = a −2⋅a⋅ 2+ 2 =
2
= a − a+
4 4
2 2 2
12) 3− b = 3 −2⋅3⋅ b+ b =
( )
( )
( )
( )
= 9− 6b+
b
2 2 2
13) y− 5 = y −2⋅y⋅ 5+ 5 =
2
2
= − +
y
10y
25
2 2 2
14) x+ 6 = x + 2⋅x⋅ 6+ 6 =
2
= + +
x
12x
36
2 2 2
15) 7− x = 7 −2⋅7⋅ x+ x =
= 49− 14x+
x
2 2 2
16) 8+ y = 8 + 2⋅8⋅ y+ y =
= 64+ 16y+
y
2
2
M.I.M.-Sraga -2003./2013.
www.mim-sraga.com
4
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