Factor the expression (x^3 + 27).

Question

Accepted Answer

Step:1 ：The given expression, (x^3 + 27), is a sum of cubes. The sum of cubes formula is (a^3 + b^3 = (a+b)(a^2 - ab + b^2)).Step:2 ：In this case, (a = x) and (b = 3), because (x^3 = (x)^3) and (27 = (3)^3).Step:3 ：Substitute (a = x) and (b = 3) into the sum of cubes formula: (x^3 + 27 = (x+3)(x^2 - 3x + 9)).

Answer

Step: 1 ：The given expression, (x^3 + 27), is a sum of cubes. The sum of cubes formula is (a^3 + b^3 = (a+b)(a^2 - ab + b^2)).Step: 2 ：In this case, (a = x) and (b = 3), because (x^3 = (x)^3) and (27 = (3)^3).Step: 3 ：Substitute (a = x) and (b = 3) into the sum of cubes formula: (x^3 + 27 = (x+3)(x^2 - 3x + 9)).

Factor the expression \(x^3 + 27\).

Answer

Popular Problems