1) (-2)^3 / (-2) + (1/3) = -8 / -2 + 1/3 = 4 + 1/3 = 4 1/3
2) 3a^4 b^3 / 15a^5b = (a^4 / a^5) (b^3 / b) / 15 = a^(-1) b^2 / 15 = b^2 / 15a
3) x - x^2 - y^2 / x + y = x(1 - x) - y^2 / x + y
4) (10a / a - b) (a^2 - b^2) / 5a = (10 / 1 - b/a) (a^2 - b^2) / 5 = (10 / (a - b) * (a + b)) / 5 = 2 / a + b
1) (-2)^3 / (-2) + (1/3) = -8 / -2 + 1/3 = 4 + 1/3 = 4 1/3
2) 3a^4 b^3 / 15a^5b = (a^4 / a^5) (b^3 / b) / 15 = a^(-1) b^2 / 15 = b^2 / 15a
3) x - x^2 - y^2 / x + y = x(1 - x) - y^2 / x + y
4) (10a / a - b) (a^2 - b^2) / 5a = (10 / 1 - b/a) (a^2 - b^2) / 5 = (10 / (a - b) * (a + b)) / 5 = 2 / a + b