Baholash
\frac{2}{a^{2}-1}
a ga nisbatan hosilani topish
-\frac{4a}{\left(a^{2}-1\right)^{2}}
Baham ko'rish
Klipbordga nusxa olish
\frac{a+1}{\left(a-1\right)\left(a+1\right)}-\frac{a-1}{\left(a-1\right)\left(a+1\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a-1 va a+1 ning eng kichik umumiy karralisi \left(a-1\right)\left(a+1\right). \frac{1}{a-1} ni \frac{a+1}{a+1} marotabaga ko'paytirish. \frac{1}{a+1} ni \frac{a-1}{a-1} marotabaga ko'paytirish.
\frac{a+1-\left(a-1\right)}{\left(a-1\right)\left(a+1\right)}
\frac{a+1}{\left(a-1\right)\left(a+1\right)} va \frac{a-1}{\left(a-1\right)\left(a+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{a+1-a+1}{\left(a-1\right)\left(a+1\right)}
a+1-\left(a-1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{2}{\left(a-1\right)\left(a+1\right)}
a+1-a+1 kabi iboralarga o‘xshab birlashtiring.
\frac{2}{a^{2}-1}
\left(a-1\right)\left(a+1\right) ni kengaytirish.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\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]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}