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Kvadrat zbroja i razlike, razlika kvadrata

Total questions: 8

Worksheet time: 4mins

Name
Class
Date
1.

Kvadrat razlike: (x 7)2 jednak je\left(x\ -7\right)^2\ jednak\ je  

a)

 x249x^2-49  

b)

 x27x 49x^2-7x\ -49  

c)

 x214x+49x^2-14x+49  

d)

 x2+14x+49x^2+14x+49  

2.

Rješenje izraza 100 x2  144x^2\ -\ 144  je: 

a)

 (10x12)(10x +12)\left(10x-12\right)\left(10x\ +12\right)  

b)

(100x-12)(100x+12)

c)

 (100x  144)2\left(100x\ -\ 144\right)^2  

d)

 44x2-44x^2  

3.

Koja formula je točna ?

a)

(ab)2=a2+2abb2\left(a-b\right)^2=a^2+2ab-b^2

b)

(ab)2= a2ab+b2\left(a-b\right)^2=\ a^2-ab+b^2

c)

(ab)2 = a2 b2\left(a-b\right)^2\ =\ a^2-\ b^2

d)

(ab)2=a22ab+b2\left(a-b\right)^2=a^2-2ab+b^2

4.

Koristeći formulu za kvadrat zbroja, rastavi  (5y+9)2\left(5y+9\right)^2  

a)

 25y2+9y+8125y^2+9y+81  

b)

 25x2+90y+8125x^2+90y+81  

c)

 5x2+90y+815x^2+90y+81  

d)

 25y2+90y+8125y^2+90y+81  

5.

Točno rješenje kvadrata razlike (2x-3)2 je

a)

4x2-9

b)

4x2-12x+9

c)

4x2+12x-9

d)

4x2-12x+6

6.

Koliko je  (2a3b) (2a+3b) \left(2a-3b\right)\ \left(2a+3b\right)\   ?

a)

 4a29b24a^2-9b^2  

b)

 4a26ab+9b24a^2-6ab+9b^2  

c)

 4a212ab+9b24a^2-12ab+9b^2  

d)

 4a2+9b24a^2+9b^2  

7.

 (23x +a)2\left(\frac{2}{3}x\ +a\right)^2  

a)

 43x2+43xa+a2\frac{4}{3}x^2+\frac{4}{3}xa+a^2  

b)

 49x+43xa+a2\frac{4}{9}x+\frac{4}{3}xa+a^2  

c)

 49x2+43x+a2\frac{4}{9}x^2+\frac{4}{3}x+a^2  

d)

 49x2+43xa+a2\frac{4}{9}x^2+\frac{4}{3}xa+a^2  

8.

Napiši u obliku kvadrata zbroja: 25a2+10a+125a^2+10a+1  

a)

 (5+2a)2\left(5+2a\right)^2  

b)

 (a+1)2\left(a+1\right)^2  

c)

 (5a+1)2\left(5a+1\right)^2  

d)

 (5a+2)2\left(5a+2\right)^2