IZRAZI -utrjevanje lažje

IZRAZI – VAJE ZA 1. RAVEN
1. IZRAČUNAJ
a) (x + 1) 2 =
(x + 3) 2 =
(v – 5) 2 =
(c + 4) 2 =
b) (a + 5) 2 + (a - 2) 2 =
( x – 5) 2 + ( x – 3) 2 =
( a + 5) 2 - ( a - 3) 2 =
( b + 4) 2 - ( b – 1) 2 =
(2x - 5) 2 =
(c – 7) (c + 7) =
(x + 4) (x - 4) =
(3z + 6)(3z – 6)=
2. Zapiši kot produkt (izpostavi skupni faktor) :
3v – 3 a =
6ac + 9 cd =
12 abc + 16 bcd =
25a 2 - 15 ab =
6c 3 d +8 c d 2 =

IZRAZI – VAJE ZA 1. RAVEN
1. IZRAČUNAJ
a) (x + 1) 2 = x 2 + 2x + 1
(x + 3) 2 = x 2 + 6x + 9
(v – 5) 2 = v 2 – 10v +25
(c + 4) 2 =c 2 +8c +16
(2x - 5) 2 = 4x 2 – 20 x +25
(c – 7) (c + 7) = c 2 – 49
(x + 4) (x - 4) = x 2 - 16
(3z + 6)(3z – 6 )= 9z 2 – 36
b) (a + 5) 2 + (a - 2) 2 = ( x – 5) 2 + ( x – 3) 2 =
= a 2 + 10a +25 +a 2 -4a +4 = = x 2 -10x +25 + x 2 -6x +9 =
= 2a 2 + 6a + 29 = 2x 2 - 16x + 34
( a + 5) 2 - ( a - 3) 2 = ( b + 4) 2 - ( b – 1) 2 =
= (a 2 +10a + 25) – ( a 2 -6a +9) = = ( b 2 +8b +16) – ( b 2 -2b +1) =
= a 2 +10a + 25 – a 2 +6a - 9 = = b 2 +8b +16 – b 2 +2b - 1 =
= 16a + 16 = 10b + 15
OBVEZNI OKLEPAJI!!!!
2. Zapiši kot produkt (izpostavi skupni faktor) :
3v – 3 a = 3( v –a)
6ac + 9 cd = 3c ( 2a + 3d)
12 abc + 16 bcd = 4bc (3a + 4d)
25a 2
- 15 ab = 5a (5a -3b)
6c 3 d + 8 c d = 2cd ( 3c 2 +4)