Question

Doprowadź do najprostrzej postaci:
a) 11a-8b-15a+4b+3b2
b) (6a+4b)+(a-9b)-(5+6b)
c) 6a(1/3a2-0,5b)-12b(-0,25a+1/3b2)-ab
d) (x-3y)do potęgi drugiej -(x-2y)x+2y)

3b2 , 1/3a , 1/3b2 , (x-3y)2 -do potegi drugiej
Proszeee.. na jutro ! ;c

Answer 1

a)

11a-8b-15a+4b+3b2 = 3b² - 4a – 4b

 b)

 (6a+4b)+(a-9b)-(5+6b) = 6a + 4b +a – 9b – 5 – 6b = 7a -11b  - 5

 c)

6a(1/3a2-0,5b)-12b(-0,25a+1/3b2)-ab  = 2a³ - 3ab +  3ab  - 4b³ -ab =  2a³ -4b³ – ab

 d) (x-3y)² -(x-2y) (x+2y) = x² - 6xy + 9y² -( x² - 4y²)   = x² - 6xy + 9y² - x² +4y²  = 13y² - 6xy  = y(13y-6x)

Answer 2

a) 11a-8b-15a+4b+3b^2 = -4a - 4b + 3b^2 = -4(a+b) + 3b^2

 b) (6a+4b)+(a-9b)-(5+6b) = 6a + 4b + a - 9b - 5 - 6b = 7a - 11b - 5

 c) 6a(1/3a2-0,5b)-12b(-0,25a+1/3b2)-ab = 2a^3 - 3ab + 3ab - 4b^3 - ab = 2a^3 - 4b^3 - ab

 d) (x-3y)^2 - (x-2y)(x+2y) = x^2 - 6xy + 9y^2 - (x^2 + 2xy - 2xy - 4y^2) = x^2 - 6xy + 9y^2 - x^2 + 4y^2 = 13y^2 - 6xy = y(13y - 6x)

 

pozdrawiam :)