Question

Zadanie 30 strona 165 dla 1 gim.

a) 6(x-4)-2

b)2(x+1)-3(x-1)

c)-3(y-2)+4(y+2)

d)5(x-y-1)-4(x+2)

e)2(3a+b)-2(a-b)

f)1/2(4x-4)-2x

g)x(x-1)-3(x^2-x)

h)5a(a-3)-3a(a-5)

i)3x(x+1/3y)-2y(1/2x-1/x)

Answer 1

a)
6(x - 4) - 2 =
= 6x - 24 - 2 =
= 6x-26

b)
2(x + 1) - 3(x - 1) =
= 2x + 2 - 3x + 3 =
= -x + 5

c)
-3(y - 2) + 4(y + 2) =
= -3y + 6 + 4y + 8 =
= y + 14

d)
5(x - y - 1) - 4(x + 2) =
= 5x - 5y - 5 - 4x - 8 =
= x - 5y - 13

e)
2(3a + b) - 2(a - b) =
= 6a + 2b - 2a + 2b =
= 4a + 4b

f)
1/2(4x - 4) - 2x =
= 2x - 2 - 2x =
= -2

g)
x(x - 1) - 3(x² - x) =
= x² - x - 3x² + 3x =
= -2x² + 2x

h)
5a(a - 3) - 3a(a - 5) =
= 5a² - 15a - 3a² + 15a = 
= 2a²

i)
3x (x + 1/3 y) - 2y (1/2 x - 1/x) =
= 3x² + xy - xy + 2xy = 
= 3x² + 2xy