The expression 8x3−27 can be written as (ax+b)(cx2+dx+e). Find a+b+c+d+e.
Solution — click to reveal
We recognize 8x3−27 as a difference of cubes. We can write 8x3−27 as (2x)3−33. We know that a3−b3=(a−b)(a2+ab+b2).Thus, (2x)3−33=(2x−3)(4x2+6x+9).Therefore, a+b+c+d+e=2−3+4+6+9=18.