Problem

Factorize the sum of cubes x3+8

Answer

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Answer

Simplifying the above expression gives us x3+8=(x+2)(x22x+4)

Steps

Step 1 :The sum of cubes can be factorized using the formula a3+b3=(a+b)(a2ab+b2). Thus, for x3+8, a corresponds to x, and b corresponds to 2, as 23=8

Step 2 :By substituting a and b into the formula, we get x3+23=(x+2)(x22x+22)

Step 3 :Simplifying the above expression gives us x3+8=(x+2)(x22x+4)

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