1. Раскройте скобки и упростите выражение: 1) 2x - (3x + y) + 2(y + 1) + x 2) x - (2x-3y) - 3(y - 1) + 2x 3) x + (5y-x - 1) -2x-5(y+2) 4) 3x-y-4(y + x) + 5(y - 3) 5) 2(y -2x) + 4(x - 2y) - 3(y - 1) 6) y - 2(x + 2y) + 3(y + x) - 2 7) 2y + 3(y - 4x) + 4(3x + 2)-1 8) y-2(x-2y) + 3(y-2)-x 9) 2y-2(x-3y) - 4(2y - x) + 2 10) y + 2(3-4x)-(x+y) - 1

1) $$2x - (3x + y) + 2(y + 1) + x = 2x - 3x - y + 2y + 2 + x = (2x - 3x + x) + (-y + 2y) + 2 = 0x + y + 2 = y + 2$$ 2) $$x - (2x - 3y) - 3(y - 1) + 2x = x - 2x + 3y - 3y + 3 + 2x = (x - 2x + 2x) + (3y - 3y) + 3 = x + 0 + 3 = x + 3$$ 3) $$x + (5y - x - 1) - 2x - 5(y + 2) = x + 5y - x - 1 - 2x - 5y - 10 = (x - x - 2x) + (5y - 5y) + (-1 - 10) = -2x + 0 - 11 = -2x - 11$$ 4) $$3x - y - 4(y + x) + 5(y - 3) = 3x - y - 4y - 4x + 5y - 15 = (3x - 4x) + (-y - 4y + 5y) - 15 = -x + 0y - 15 = -x - 15$$ 5) $$2(y - 2x) + 4(x - 2y) - 3(y - 1) = 2y - 4x + 4x - 8y - 3y + 3 = (-4x + 4x) + (2y - 8y - 3y) + 3 = 0 - 9y + 3 = -9y + 3$$ 6) $$y - 2(x + 2y) + 3(y + x) - 2 = y - 2x - 4y + 3y + 3x - 2 = (-2x + 3x) + (y - 4y + 3y) - 2 = x + 0y - 2 = x - 2$$ 7) $$2y + 3(y - 4x) + 4(3x + 2) - 1 = 2y + 3y - 12x + 12x + 8 - 1 = (2y + 3y) + (-12x + 12x) + (8 - 1) = 5y + 0 + 7 = 5y + 7$$ 8) $$y - 2(x - 2y) + 3(y - 2) - x = y - 2x + 4y + 3y - 6 - x = (-2x - x) + (y + 4y + 3y) - 6 = -3x + 8y - 6$$ 9) $$2y - 2(x - 3y) - 4(2y - x) + 2 = 2y - 2x + 6y - 8y + 4x + 2 = (-2x + 4x) + (2y + 6y - 8y) + 2 = 2x + 0y + 2 = 2x + 2$$ 10) $$y + 2(3 - 4x) - (x + y) - 1 = y + 6 - 8x - x - y - 1 = (y - y) + (-8x - x) + (6 - 1) = 0 - 9x + 5 = -9x + 5$$