\[\frac{{x}^{3}+4{x}^{2}-9}{x+3}\]

1
Polynomial Division: Divide x3+4x29{x}^{3}+4{x}^{2}-9 by x+3x+3.

x2x^2xx3-3
x+3x+3x3x^34x24x^29-9
x3x^33x23x^2
x2x^29-9
x2x^23x3x
3x-3x9-9
3x-3x9-9

2
Rewrite the expression using the above.
x2+x3{x}^{2}+x-3

Done

How can we make this solution more helpful?