Question

Zadanie 1

a. 3(x-y)

b.4(a+b)

c. -2(2x-y)

d. -5 (-3a+2+b)

e. 4(-2x+y-1)

f. -3(3-2xy+5y)

Zadanie 2

a.2x(y-x)

b. -4y(y-2x)

c. 3x(2xy+3x)

d.3m (4+5p - 2q)

e. -5x(x-2y+2)

f.-4a ( -5a+5ab-3b)

Zadanie 3

a.-3(2y-3x) +2 (3y+2x)

b. -4(x-5y) - 3(-2y-x)

c. 2x(x+2y)-x(2x+y)

d.-x(z-y)-z (-x+y)

e. 4(x+y)-2(x+y)-3x(1+y)

f.-5x(2-y) - y (5x+1)+10x(-y+1)

DAJE NAJJJ.... :)

Answer 1

zad.1

a) 3(x-y) = 3x-3y

b) 4(a+b) = 4a+4b

c)-2(2x-y) = -4x+2y

d) -5(-3a+2+b) = 15a-10-5b

e) 4(-2x+y-1) = -8x+4y-4

f) -3(3-2xy+5y) = -9+6xy-15y

 

zad.2

a) 2x(y-x) = 2xy-2x²

b) -4y(y-2x) = -4y²+8xy

c)3x(2xy+3x) = 6x²y+9x²

d) 3m(4+5p-2q) = 12m+15mp-6mq

e) -5x(x-2y+2) = -5x²+10xy-10x

f)-4a(-5a+5ab-3b) = 20a²-20a²b12ab

 

zad.3

a) -3(2y-3x)+2(3y+2x) = -6y+9x+6y+4x=13x

b) -4(x-5y)-3(-2y-x) = -4x+20y+6y+3x=-x+26y

c) 2x(x+2y)-x(2x+y) = 2x²+4xy-2x²-xy=3xy

d) -x(z-y)-z(-x+y) = -xz+xy+xz-yz=xy-yz

e) 4(x+y)-2(x+y)-3x(1+y) = 4x+4y-2x-2y-3x-3xy=-x+2y-3xy

f) -5x(2-y)-y(5x+1)+10x(-y+1) = -10x+5xy-5xy-y-10xy+10x=-y-10xy

Answer 2

Zadanie 1:

a. 3(x-y) = 3x - 3y

b. 4(a+b) = 4a + 4b

c. -2(2x-y) = -4x + 2y

d. -5 (-3a+2+b) = 15a - 10 - 5b

e. 4(-2x+y-1) = -8x + 4y -4

f. -3(3-2xy+5y) = -9 + 6xy - 15y

 

Zadanie 2:

a. 2x(y-x) = 2xy - 2x²

b. -4y(y-2x) = -4y² + 8xy

c. 3x(2xy+3x) = 6x²y + 9x²

d. 3m (4+5p - 2q) = 12m + 15pm - 6qm

e. -5x(x-2y+2) = -5x² + 10xy - 10x

f. -4a ( -5a+5ab-3b) = 20a² - 20a²b + 12ab

 

Zadanie 3:

a. -3(2y-3x) +2 (3y+2x) = -6y + 9x + 6y + 4x = 9x + 4x = 13x

b. -4(x-5y) - 3(-2y-x) = -4x + 20y + 6y + 3x = -x + 26y

c. 2x(x+2y)-x(2x+y) = 2x² + 4xy - 2x² - xy = 4xy - xy = 3xy

d. -x(z-y)-z (-x+y) = -xz + xy + xz - zy = xy - zy

e. 4(x+y)-2(x+y)-3x(1+y) = 4x + 4y - 2x - 2y - 3x - 3xy = -x + 2y - 3xy

f. -5x(2-y) - y (5x+1)+10x(-y+1) = -10x + 5xy - 5xy - y - 10xy + 10x = -y - 10xy