Answer:Let's simplify the expression step-by-step: Given:(9w⁴x²y³ - 13z³) - (14w⁴x²y³ - z³) - (8w⁴x²y³ + 3z³) - (w⁴x²y³ - 9z³) Distribute the negative signs:= 9w⁴x²y³ - 13z³ - 14w⁴x²y³ + z³ - 8w⁴x²y³ - 3z³ - w⁴x²y³ + 9z³ Group like terms:(9w⁴x²y³ - 14w⁴x²y³ - 8w⁴x²y³ - w⁴x²y³) + (-13z³ + z³ - 3z³ + 9z³) Calculate coefficients:For w⁴x²y³: 9 - 14 - 8 - 1 = (9 - 14) - 8 - 1 = (-5) - 8 - 1 = -14For z³: -13 + 1 - 3 + 9 = (-13 + 1) - 3 + 9 = -12 - 3 + 9 = -6 Final result:-14w⁴x²y³ - 6z³