Question

oblicz.

a) (5x-3)²

b) (3+√5)²

c) (3√2-√6)(3√2+√6)

d) ((-3½)²-(-2⅓)²)÷2¼

Answer 1

Zadanie 1.

 

a)

 

b)

 

c)

 

d)

 

 

 

 

 

 

 

 

Pozdrawiam :)

Answer 2

a)

(5x-3)² = 25x² - 30x + 9

b) 

(3+√5)² = 9 + 6√5 + 5

c)

(3√2-√6)(3√2+√6) = 18-6 = 12

d)

   [(-3 1/2)²-(-2 1/3)²]/(2 1/4) = [(-7/2)²-(-7/3)²]/(9/4) = (49/4 - 49/9) * 4/9 =

= (441/36 - 196/36)*(4/9) = (245/36)*(4/9) = 245/81 = 3 i 2/81

 

Wykorzystano wzory:

(a+b)² = a²+2ab+b²

(a-b)² = a²-2ab+b²

(a+b)(a-b) = a²-b²