Question

Uprośc wyrażenia:

a)5·(xy)

b)3a/4 ·(-2a/3)

c)-2x · (-3xy)

d)x-x/2 - x/3

e)-4·(-x/2)·(-2x/4)

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

g)-(x+1)+(2x+4)

h)3(a²-4)-(-a²+2)

Answer 1

a) 5 * (xy) =
= 5xy

b) 3a/4 * (- 2a/3)=
= -6a²/12 =
= -a²/2

c) - 2x * (- 3xy)=
= 6x²y

d) x - x/2 - x/3 =
= 6x - 3x - 2x/6
= x/6

e) - 4 * (- x/2) * (- 2x/4) = 
= -4 * (2x²/8) = 
= -2x²/2
= -x²

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

g) - (x + 1) + (2x + 4) =

= -x - 1 + 2x + 4 =
= x + 3

h) 3(a²-4)-(-a²+2) =
= 3(a² - 4) - (a² + 2) =
= 3a² - 12 - a² - 2 =
= 2a² - 14

Answer 2

a) 5xy

b) 3/4a*(-2/3a)=-3/6a kwadrat=1/2a kwadrat

c) -2x(-3xy)=6xkwadrat y

d) x-1/2x-1/3x=x-3/6x-2/6x=1/6x

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

f)x+1/2+2x-1/4=3x+2/4-1/4=3x+1/4

g)-(x+1)+(2x+4)=-x-1+2x+4=x+3

h)3a kwadrat -12+a kwadrat-2=2 a kwadrat-14