Riješi z-5/z^2-81-6-z/81-z^2 | Microsoftov alat za rješavanje matematike

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Polynomial

5 problemi slični:

Slični problemi iz pretraživanja weba

https://www.tiger-algebra.com/drill/z~3_z~2-5z-5/z~2-3z-4/

https://socratic.org/questions/7-z-1-z-5-z-2-1-6-z-p-s-i-have-no-idea-on-how-to-solve-this-problem

https://socratic.org/questions/given-that-v-sin-u-1-2-show-that-4v-3-d-2v-du-2-v-4-1-0

https://socratic.org/questions/a-1-1-1-2-a-2-1-2-2-2-2-2-a-3-1-3-2-2-3-2-3-3-2-a-4-1-4-2-2-4-2-3-4-2-4-4-2-a-n

https://socratic.org/questions/how-can-i-simplify-f-16-256g-4h-4-1-4

Dijeliti

Kopirano u međuspremnik

\frac{z-5}{\left(z-9\right)\left(z+9\right)}-\frac{6-z}{\left(z-9\right)\left(-z-9\right)}

Rastavite z^{2}-81 na faktore. Rastavite 81-z^{2} na faktore.

\frac{z-5}{\left(z-9\right)\left(z+9\right)}-\frac{-\left(6-z\right)}{\left(z-9\right)\left(z+9\right)}

Da biste zbrojili ili oduzeli izraze, proširite ih da bi imali iste nazivnike. Najmanji zajednički višekratnik brojeva \left(z-9\right)\left(z+9\right) i \left(z-9\right)\left(-z-9\right) jest \left(z-9\right)\left(z+9\right). Pomnožite \frac{6-z}{\left(z-9\right)\left(-z-9\right)} i \frac{-1}{-1}.

\frac{z-5-\left(-\left(6-z\right)\right)}{\left(z-9\right)\left(z+9\right)}

Budući da \frac{z-5}{\left(z-9\right)\left(z+9\right)} i \frac{-\left(6-z\right)}{\left(z-9\right)\left(z+9\right)} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.

\frac{z-5+6-z}{\left(z-9\right)\left(z+9\right)}

Pomnožite izraz z-5-\left(-\left(6-z\right)\right).

\frac{1}{\left(z-9\right)\left(z+9\right)}

Kombinirajte slične izraze u z-5+6-z.

\frac{1}{z^{2}-81}

Proširivanje broja \left(z-9\right)\left(z+9\right).