Factor the polynomial expression (x^3 + 8).

Question

Accepted Answer

Step:1 ：Recognize that (x^3 + 8) is a sum of cubes. In general, the sum of cubes can be factored as (a^3 + b^3 = (a + b)(a^2 - ab + b^2)).Step:2 ：Identify (a) and (b) in (x^3 + 8). Here, (a = x) and (b = 2) because (x^3 = x^3) and (8 = 2^3).Step:3 ：Substitute (a = x) and (b = 2) into the formula. This gives us ((x + 2)(x^2 - 2x + 4)).

Answer

Step: 1 ：Recognize that (x^3 + 8) is a sum of cubes. In general, the sum of cubes can be factored as (a^3 + b^3 = (a + b)(a^2 - ab + b^2)).Step: 2 ：Identify (a) and (b) in (x^3 + 8). Here, (a = x) and (b = 2) because (x^3 = x^3) and (8 = 2^3).Step: 3 ：Substitute (a = x) and (b = 2) into the formula. This gives us ((x + 2)(x^2 - 2x + 4)).

Factor the polynomial expression \(x^3 + 8\).

Answer

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