Final answer:
To factor the difference of two cubes x³y³-64, we can use the formula for factoring a difference of cubes. In this case, a = xy and b = 4. Substitute these values into the formula to get the factored form: (xy - 4)(x²y² + 4xy + 16).
Step-by-step explanation:
To factor the difference of two cubes x³y³-64, we can use the formula for factoring a difference of cubes: a³ - b³ = (a-b)(a² + ab + b²). In this case, a = xy and b = 4. Substitute these values into the formula to get the factored form: (xy - 4)(x²y² + 4xy + 16).