` 1) `
` (1/2 x + 3)(2x^2 - 4x - 6) `
` = 1/2 x(2x^2 - 4x - 6) + 3(2x^2 - 4x - 6) `
` = x^3 - 2x^2 - 3x + 6x^2 - 12x - 18 `
` = x^3 - 2x^2 + 6x^2 - 12x - 3x - 18 `
` = x^3 + 4x^2 - 15x - 18 `
` 2) `
` (-2/3 x + 3)(3x^2 - 6x + 9) `
` = -2/3 x(3x^2 - 6x + 9) + 3(3x^2 - 6x + 9) `
` = -2x^3 + 4x^2 - 6x + 9x^2 - 18x + 27 `
` = -2x^3 + 4x^2 + 9x^2 - 6x - 18x + 27 `
` = -2x^3 + 13x^2 - 24x + 27 `