x31x+2\frac{{x}^{3}-1}{x+2}

1
Polynomial Division: Divide x31{x}^{3}-1 by x+2x+2.

x2x^22x-2x44
x+2x+2x3x^31-1
x3x^32x22x^2
2x2-2x^21-1
2x2-2x^24x-4x
4x4x1-1
4x4x88
9-9

2
Rewrite the expression using the above.
x22x+49x+2{x}^{2}-2x+4-\frac{9}{x+2}

Done

How can we make this solution more helpful?