To rewrite this expression we can use the sum of cubes identity: . Notice that we can express 8 as a cube: , so we can rewrite our first term as . Since our second term does not have a exact cubic root, we must rewrite as . Now we have and , so lets use the sum of cube identity to rewrite our expression:
We can conclude that we can use the sum of cubes identity to rewrite the expression <span>8x^3+243 as </span>