To simplify the expression, we can use the formula for the difference of cubes, which states that a³ - b³ = (a - b)(a² + ab + b²).
In this case, we have 8а³ - 27в³ = (2а)³ - (3в)³ = (2а - 3в)(4а² + 6a(3v) + 9v²) = (2а - 3в)(4a² + 18av + 9v²).
Therefore, the simplified expression is (2а - 3в)(4a² + 18av + 9v²) / (2a² - av - 3v²).
To simplify the expression, we can use the formula for the difference of cubes, which states that a³ - b³ = (a - b)(a² + ab + b²).
In this case, we have 8а³ - 27в³ = (2а)³ - (3в)³ = (2а - 3в)(4а² + 6a(3v) + 9v²) = (2а - 3в)(4a² + 18av + 9v²).
Therefore, the simplified expression is (2а - 3в)(4a² + 18av + 9v²) / (2a² - av - 3v²).