Factorize the sum of cubes x3+8
Simplifying the above expression gives us x3+8=(x+2)(x2−2x+4)
Step 1 :The sum of cubes can be factorized using the formula a3+b3=(a+b)(a2−ab+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)(x2−2x+22)
Step 3 :Simplifying the above expression gives us x3+8=(x+2)(x2−2x+4)