Evaluasi
\frac{\alpha ^{2}+\alpha +\beta ^{2}+\beta }{\left(\alpha +1\right)\left(\beta +1\right)}
Diferensial w.r.t. α
\frac{\alpha ^{2}+2\alpha -\beta ^{2}-\beta +1}{\left(\beta +1\right)\left(\alpha +1\right)^{2}}
Bagikan
Disalin ke clipboard
\frac{\alpha \left(\alpha +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)}+\frac{\beta \left(\beta +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)}
Untuk menambahkan atau mengurangi ekspresi, perluas untuk menyamakan penyebutnya. Kelipatan persekutuan terkecil dari \beta +1 dan \alpha +1 adalah \left(\alpha +1\right)\left(\beta +1\right). Kalikan \frac{\alpha }{\beta +1} kali \frac{\alpha +1}{\alpha +1}. Kalikan \frac{\beta }{\alpha +1} kali \frac{\beta +1}{\beta +1}.
\frac{\alpha \left(\alpha +1\right)+\beta \left(\beta +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)}
Karena \frac{\alpha \left(\alpha +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)} dan \frac{\beta \left(\beta +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)} memiliki penyebut yang sama, tambahkan bilangan dengan menambahkan pembilangnya.
\frac{\alpha ^{2}+\alpha +\beta ^{2}+\beta }{\left(\alpha +1\right)\left(\beta +1\right)}
Kalikan bilangan berikut \alpha \left(\alpha +1\right)+\beta \left(\beta +1\right).
\frac{\alpha ^{2}+\alpha +\beta ^{2}+\beta }{\alpha \beta +\alpha +\beta +1}
Luaskan \left(\alpha +1\right)\left(\beta +1\right).
Contoh
Persamaan kuadrat
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
Persamaan linear
y = 3x + 4
Aritmetika
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 simultan
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferensial
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integral
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limit
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}