Problem

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

Answer

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Answer

Calculate the values of \(a^2 - ab + b^2\) using \(a = x\) and \(b = 2\)

Steps

Step 1 :Identify the cube roots of both terms; \(x\) is the cube root of \(x^3\) and \(2\) is the cube root of \(8\)

Step 2 :Use the formula for factoring the sum of cubes: \(a^3 + b^3 = (a + b)(a^2 - ab + b^2)\). Substitute \(a = x\) and \(b = 2\) into the formula

Step 3 :Calculate the values of \(a^2 - ab + b^2\) using \(a = x\) and \(b = 2\)

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