Nilaikan
\frac{7\left(n-5\right)\left(49n-25\right)}{\left(5n-3\right)\left(49n^{2}-25\right)}
Kembangkan
\frac{7\left(49n^{2}-270n+125\right)}{\left(7n-5\right)\left(35n^{2}+4n-15\right)}
Kongsi
Disalin ke papan klip
\frac{\left(343n-175\right)\left(n^{2}-7n+10\right)}{\left(7n^{2}-19n+10\right)\left(35n^{2}+4n-15\right)}
Bahagikan \frac{343n-175}{7n^{2}-19n+10} dengan \frac{35n^{2}+4n-15}{n^{2}-7n+10} dengan mendarabkan \frac{343n-175}{7n^{2}-19n+10} dengan salingan \frac{35n^{2}+4n-15}{n^{2}-7n+10}.
\frac{7\left(n-5\right)\left(n-2\right)\left(49n-25\right)}{\left(n-2\right)\left(5n-3\right)\left(7n-5\right)\left(7n+5\right)}
Faktor ungkapan yang belum difaktorkan.
\frac{7\left(n-5\right)\left(49n-25\right)}{\left(5n-3\right)\left(7n-5\right)\left(7n+5\right)}
Batalkann-2 pada kedua-dua pengangka dan penyebut.
\frac{343n^{2}-1890n+875}{245n^{3}-147n^{2}-125n+75}
Kembangkan ungkapan.
\frac{\left(343n-175\right)\left(n^{2}-7n+10\right)}{\left(7n^{2}-19n+10\right)\left(35n^{2}+4n-15\right)}
Bahagikan \frac{343n-175}{7n^{2}-19n+10} dengan \frac{35n^{2}+4n-15}{n^{2}-7n+10} dengan mendarabkan \frac{343n-175}{7n^{2}-19n+10} dengan salingan \frac{35n^{2}+4n-15}{n^{2}-7n+10}.
\frac{7\left(n-5\right)\left(n-2\right)\left(49n-25\right)}{\left(n-2\right)\left(5n-3\right)\left(7n-5\right)\left(7n+5\right)}
Faktor ungkapan yang belum difaktorkan.
\frac{7\left(n-5\right)\left(49n-25\right)}{\left(5n-3\right)\left(7n-5\right)\left(7n+5\right)}
Batalkann-2 pada kedua-dua pengangka dan penyebut.
\frac{343n^{2}-1890n+875}{245n^{3}-147n^{2}-125n+75}
Kembangkan ungkapan.
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}