Complete the statements below to describe the formulas for sum and difference of cubes. The sum of cubes can be factored as a product of a binomial and trinomial such that the sum of cubes will have a [Select ] trinomial where the [Select ] [Select] The difference of cubes can be factorectas a proauctora such that the difference of cubes will have a [Select ] multiplied by a trinomial where the and trinomial [Select ] [Select ]

We can write the formulas for the sum and difference of cubes as follows:   a³ + b³ = (a + b)(a² – ab + b²)   a³ – b³ = (a – b)(a² + ab + b²) Now, to complete the statements: 1. For the sum of cubes:   • The sum of cubes can be factored as a product of a binomial and a trinomial such that the sum of cubes will have a binomial factor with a plus sign (a + b),   • multiplied by a trinomial in which the middle term is negative (a² – ab + b²). 2. For the difference of cubes:   • The difference of cubes can be factored as a product of a binomial and a trinomial such that the difference of cubes will have a binomial factor with a minus sign (a – b),   • multiplied by a trinomial in which all three terms are added (a² + ab + b²). This distinction in the signs of the middle term of the trinomial is key in differentiating the two formulas.