Nilaikan
\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}
Kembangkan
\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}
Kongsi
Disalin ke papan klip
\frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)}-\frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}
Untuk menambah atau menolak ungkapan, kembangkannya untuk membuat penyebut mereka sama. Gandaan sepunya terkecil r\left(r+3\right) dan r\left(r+2\right) ialah r\left(r+2\right)\left(r+3\right). Darabkan \frac{r+2}{r\left(r+3\right)} kali \frac{r+2}{r+2}. Darabkan \frac{r-1}{r\left(r+2\right)} kali \frac{r+3}{r+3}.
\frac{\left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}
Oleh kerana \frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)} dan \frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)} mempunyai penyebut yang sama, tolakkan dengan menolakkan pengangka.
\frac{r^{2}+2r+2r+4-r^{2}-3r+r+3}{r\left(r+2\right)\left(r+3\right)}
Lakukan pendaraban dalam \left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right).
\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}
Gabungkan sebutan serupa dalam r^{2}+2r+2r+4-r^{2}-3r+r+3.
\frac{2r+7}{r^{3}+5r^{2}+6r}
Kembangkan r\left(r+2\right)\left(r+3\right).
\frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)}-\frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}
Untuk menambah atau menolak ungkapan, kembangkannya untuk membuat penyebut mereka sama. Gandaan sepunya terkecil r\left(r+3\right) dan r\left(r+2\right) ialah r\left(r+2\right)\left(r+3\right). Darabkan \frac{r+2}{r\left(r+3\right)} kali \frac{r+2}{r+2}. Darabkan \frac{r-1}{r\left(r+2\right)} kali \frac{r+3}{r+3}.
\frac{\left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}
Oleh kerana \frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)} dan \frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)} mempunyai penyebut yang sama, tolakkan dengan menolakkan pengangka.
\frac{r^{2}+2r+2r+4-r^{2}-3r+r+3}{r\left(r+2\right)\left(r+3\right)}
Lakukan pendaraban dalam \left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right).
\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}
Gabungkan sebutan serupa dalam r^{2}+2r+2r+4-r^{2}-3r+r+3.
\frac{2r+7}{r^{3}+5r^{2}+6r}
Kembangkan r\left(r+2\right)\left(r+3\right).
Contoh
Persamaan kuadratik
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
Persamaan linear
y = 3x + 4
Aritmetik
699 * 533
Matriks
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Persamaan serentak
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Pembezaan
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Pengamiran
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Had
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}