8
votes
4answers
1k views

Easy ways to find partial fraction representation? (via a concrete example)

In a homework assignment (about generating functions) the students find themselves having to expand $\frac{3-7x+9x^{2}-3x^{3}}{\left(1-x\right)^{4}}$ intro partial fractions. Using some automated tool ...
3
votes
1answer
148 views

How to factorize $4x^4+12x^{10/3} y^{2/3}+ \dots $?

Does anyone know how to factorize the following expression: $$4x^4+12x^{10/3} y^{2/3}+33x^{8/3} y^{4/3}+46x^2 y^2+33x^{4/3} y^{8/3}+12x^{2/3} y^{10/3}+4 y^4$$ ?