Riješi 3/2x+12-x-15/x^2-2x-48 | Microsoftov alat za rješavanje matematike

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Polynomial

5 problemi slični:

Slični problemi iz pretraživanja weba

https://www.tiger-algebra.com/drill/2(x-3/x_1)~2_x-3/x_1-1=0/

https://socratic.org/questions/how-do-you-evaluate-frac-3-x-1-frac-2x-5-x-2-3x-4

https://www.tiger-algebra.com/drill/(2x~2_9x-5)/(6x~2-5x_1)/

https://socratic.org/questions/how-do-you-solve-frac-3-x-2-frac-4-x-4-frac-5-x-2-2x-8

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Kopirano u međuspremnik

\frac{3}{2\left(x+6\right)}-\frac{x-15}{\left(x-8\right)\left(x+6\right)}

Rastavite 2x+12 na faktore. Rastavite x^{2}-2x-48 na faktore.

\frac{3\left(x-8\right)}{2\left(x-8\right)\left(x+6\right)}-\frac{2\left(x-15\right)}{2\left(x-8\right)\left(x+6\right)}

Da biste zbrojili ili oduzeli izraze, proširite ih da bi imali iste nazivnike. Najmanji zajednički višekratnik brojeva 2\left(x+6\right) i \left(x-8\right)\left(x+6\right) jest 2\left(x-8\right)\left(x+6\right). Pomnožite \frac{3}{2\left(x+6\right)} i \frac{x-8}{x-8}. Pomnožite \frac{x-15}{\left(x-8\right)\left(x+6\right)} i \frac{2}{2}.

\frac{3\left(x-8\right)-2\left(x-15\right)}{2\left(x-8\right)\left(x+6\right)}

Budući da \frac{3\left(x-8\right)}{2\left(x-8\right)\left(x+6\right)} i \frac{2\left(x-15\right)}{2\left(x-8\right)\left(x+6\right)} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.

\frac{3x-24-2x+30}{2\left(x-8\right)\left(x+6\right)}

Pomnožite izraz 3\left(x-8\right)-2\left(x-15\right).

\frac{x+6}{2\left(x-8\right)\left(x+6\right)}

Kombinirajte slične izraze u 3x-24-2x+30.

\frac{1}{2\left(x-8\right)}

Skratite x+6 u brojniku i nazivniku.

\frac{1}{2x-16}

Proširivanje broja 2\left(x-8\right).