Question

Doprowadź wyrażenie do najprostszej postaci.
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)

Answer 1

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 - zy = xy - zy = y(x - z)
e)4(x+y)-2(x-y)-3x(1+y) = 4x + 4y - 2x + 2y - 3x - 3xy = - x - 3xy+ 6y
f)-5x(2-y)-y(5x+1)+10x(-y+1) = - 10x + 5xy - 5xy - y - 10xy + 10x = - y - 10xy = - y(1 + 10x)