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Given that $x$ is positive and less than $1$, list the following expressions from smallest to largest:

$x^2 + x$, $x^2$, $x^3$, $x^3 + x^2$, $x^4$.

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

*This problem is taken from the UKMT Mathematical Challenges.*