Baholash
\frac{1}{z^{2}-81}
Kengaytirish
\frac{1}{z^{2}-81}
Viktorina
Polynomial
5xshash muammolar:
\frac { z - 5 } { z ^ { 2 } - 81 } - \frac { 6 - z } { 81 - z ^ { 2 } }
Baham ko'rish
Klipbordga nusxa olish
\frac{z-5}{\left(z-9\right)\left(z+9\right)}-\frac{6-z}{\left(z-9\right)\left(-z-9\right)}
Faktor: z^{2}-81. Faktor: 81-z^{2}.
\frac{z-5}{\left(z-9\right)\left(z+9\right)}-\frac{-\left(6-z\right)}{\left(z-9\right)\left(z+9\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(z-9\right)\left(z+9\right) va \left(z-9\right)\left(-z-9\right) ning eng kichik umumiy karralisi \left(z-9\right)\left(z+9\right). \frac{6-z}{\left(z-9\right)\left(-z-9\right)} ni \frac{-1}{-1} marotabaga ko'paytirish.
\frac{z-5-\left(-\left(6-z\right)\right)}{\left(z-9\right)\left(z+9\right)}
\frac{z-5}{\left(z-9\right)\left(z+9\right)} va \frac{-\left(6-z\right)}{\left(z-9\right)\left(z+9\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{z-5+6-z}{\left(z-9\right)\left(z+9\right)}
z-5-\left(-\left(6-z\right)\right) ichidagi ko‘paytirishlarni bajaring.
\frac{1}{\left(z-9\right)\left(z+9\right)}
z-5+6-z kabi iboralarga o‘xshab birlashtiring.
\frac{1}{z^{2}-81}
\left(z-9\right)\left(z+9\right) ni kengaytirish.
\frac{z-5}{\left(z-9\right)\left(z+9\right)}-\frac{6-z}{\left(z-9\right)\left(-z-9\right)}
Faktor: z^{2}-81. Faktor: 81-z^{2}.
\frac{z-5}{\left(z-9\right)\left(z+9\right)}-\frac{-\left(6-z\right)}{\left(z-9\right)\left(z+9\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(z-9\right)\left(z+9\right) va \left(z-9\right)\left(-z-9\right) ning eng kichik umumiy karralisi \left(z-9\right)\left(z+9\right). \frac{6-z}{\left(z-9\right)\left(-z-9\right)} ni \frac{-1}{-1} marotabaga ko'paytirish.
\frac{z-5-\left(-\left(6-z\right)\right)}{\left(z-9\right)\left(z+9\right)}
\frac{z-5}{\left(z-9\right)\left(z+9\right)} va \frac{-\left(6-z\right)}{\left(z-9\right)\left(z+9\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{z-5+6-z}{\left(z-9\right)\left(z+9\right)}
z-5-\left(-\left(6-z\right)\right) ichidagi ko‘paytirishlarni bajaring.
\frac{1}{\left(z-9\right)\left(z+9\right)}
z-5+6-z kabi iboralarga o‘xshab birlashtiring.
\frac{1}{z^{2}-81}
\left(z-9\right)\left(z+9\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}