Lutasin ang frac{z^{3}+216}{z^{7}-36z^{5}}*z^8-12z^7+36z^6/z^2-6z+36

I-evaluate

Palawakin

Quiz

Polynomial

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Katulad na mga Problema mula sa Web Search

https://math.stackexchange.com/questions/1498005/finding-the-laurent-expansion-of-1-z1z2-when-1-vert-z-vert-infty

https://math.stackexchange.com/questions/2037332/quadratico-geometric-series

https://math.stackexchange.com/questions/2123566/find-the-approximation-with-gamma-function

https://math.stackexchange.com/questions/2816157/how-can-you-prove-13-23-cdotsn-13-fracn44-13-23-cdots

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\frac{\left(z+6\right)\left(z^{2}-6z+36\right)}{\left(z-6\right)\left(z+6\right)z^{5}}\times \frac{z^{8}-12z^{7}+36z^{6}}{z^{2}-6z+36}

I-factor ang mga expression na hindi pa na-factor sa \frac{z^{3}+216}{z^{7}-36z^{5}}.

\frac{z^{2}-6z+36}{\left(z-6\right)z^{5}}\times \frac{z^{8}-12z^{7}+36z^{6}}{z^{2}-6z+36}

I-cancel out ang z+6 sa parehong numerator at denominator.

\frac{\left(z^{2}-6z+36\right)\left(z^{8}-12z^{7}+36z^{6}\right)}{\left(z-6\right)z^{5}\left(z^{2}-6z+36\right)}

I-multiply ang \frac{z^{2}-6z+36}{\left(z-6\right)z^{5}} sa \frac{z^{8}-12z^{7}+36z^{6}}{z^{2}-6z+36} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

\frac{z^{8}-12z^{7}+36z^{6}}{\left(z-6\right)z^{5}}

I-cancel out ang z^{2}-6z+36 sa parehong numerator at denominator.

\frac{\left(z-6\right)^{2}z^{6}}{\left(z-6\right)z^{5}}

I-factor ang mga expression na hindi pa na-factor.

z\left(z-6\right)

I-cancel out ang \left(z-6\right)z^{5} sa parehong numerator at denominator.

z^{2}-6z

Palawakin ang expression.