u24+u\frac{{u}^{2}}{4+u}

1
Polynomial Division: Divide u2{u}^{2} by 4+u4+u.

uu4-4
u+4u+4u2u^2
u2u^24u4u
4u-4u
4u-4u16-16
1616

2
Rewrite the expression using the above.
u4+16u+4u-4+\frac{16}{u+4}

Done

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