Factor the polynomial (x^3 - 8)

Question

Accepted Answer

Step:1 ：Recognize the given expression as a difference of cubes, (x^3 - 2^3)Step:2 ：Apply the formula for factoring a difference of cubes, (a^3 - b^3 = (a - b)(a^2 + ab + b^2)), with (a = x) and (b = 2)Step:3 ：Substitute the values of (a) and (b) into the formula: (x^3 - 8 = (x - 2)(x^2 + 2x + 4))

Answer

Step: 1 ：Recognize the given expression as a difference of cubes, (x^3 - 2^3)Step: 2 ：Apply the formula for factoring a difference of cubes, (a^3 - b^3 = (a - b)(a^2 + ab + b^2)), with (a = x) and (b = 2)Step: 3 ：Substitute the values of (a) and (b) into the formula: (x^3 - 8 = (x - 2)(x^2 + 2x + 4))

Factor the polynomial \(x^3 - 8\)

Answer

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