Lahenda =1/r^2-1/(r-1)^2 | Microsofti matemaatika lahendaja

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Sarnased probleemid veebiotsingust

https://www.tiger-algebra.com/drill/1/6r~2-1/6r-5=0/

https://math.stackexchange.com/questions/534915/limit-of-2n-n2-2n1

https://math.stackexchange.com/questions/532119/find-the-expressions-for-the-common-difference-and-common-ratio

https://math.stackexchange.com/questions/1817849/generalizing-the-geometric-sum/1818059

Jagama

Lõikelauale kopeeritud

\frac{\left(r-1\right)^{2}}{r^{2}\left(r-1\right)^{2}}-\frac{r^{2}}{r^{2}\left(r-1\right)^{2}}

Avaldiste liitmiseks või lahutamiseks laiendage need, et neil oleksid ühised nimetajad. r^{2} ja \left(r-1\right)^{2} vähim ühiskordne on r^{2}\left(r-1\right)^{2}. Korrutage omavahel \frac{1}{r^{2}} ja \frac{\left(r-1\right)^{2}}{\left(r-1\right)^{2}}. Korrutage omavahel \frac{1}{\left(r-1\right)^{2}} ja \frac{r^{2}}{r^{2}}.

\frac{\left(r-1\right)^{2}-r^{2}}{r^{2}\left(r-1\right)^{2}}

Kuna murdudel \frac{\left(r-1\right)^{2}}{r^{2}\left(r-1\right)^{2}} ja \frac{r^{2}}{r^{2}\left(r-1\right)^{2}} on sama nimetaja, lahutage nende lugejad.

\frac{r^{2}-2r+1-r^{2}}{r^{2}\left(r-1\right)^{2}}

Tehke korrutustehted võrrandis \left(r-1\right)^{2}-r^{2}.

\frac{-2r+1}{r^{2}\left(r-1\right)^{2}}

Kombineerige sarnased liikmed avaldises r^{2}-2r+1-r^{2}.

\frac{-2r+1}{r^{4}-2r^{3}+r^{2}}

Laiendage r^{2}\left(r-1\right)^{2}.