Baholash
\frac{3z^{2}-15z-4}{z^{2}-16}
Kengaytirish
\frac{3z^{2}-15z-4}{z^{2}-16}
Baham ko'rish
Klipbordga nusxa olish
\frac{\left(3z-1\right)\left(z-4\right)}{\left(z-4\right)\left(z+4\right)}-\frac{2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. z+4 va z-4 ning eng kichik umumiy karralisi \left(z-4\right)\left(z+4\right). \frac{3z-1}{z+4} ni \frac{z-4}{z-4} marotabaga ko'paytirish. \frac{2}{z-4} ni \frac{z+4}{z+4} marotabaga ko'paytirish.
\frac{\left(3z-1\right)\left(z-4\right)-2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)}
\frac{\left(3z-1\right)\left(z-4\right)}{\left(z-4\right)\left(z+4\right)} va \frac{2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{3z^{2}-12z-z+4-2z-8}{\left(z-4\right)\left(z+4\right)}
\left(3z-1\right)\left(z-4\right)-2\left(z+4\right) ichidagi ko‘paytirishlarni bajaring.
\frac{3z^{2}-15z-4}{\left(z-4\right)\left(z+4\right)}
3z^{2}-12z-z+4-2z-8 kabi iboralarga o‘xshab birlashtiring.
\frac{3z^{2}-15z-4}{z^{2}-16}
\left(z-4\right)\left(z+4\right) ni kengaytirish.
\frac{\left(3z-1\right)\left(z-4\right)}{\left(z-4\right)\left(z+4\right)}-\frac{2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. z+4 va z-4 ning eng kichik umumiy karralisi \left(z-4\right)\left(z+4\right). \frac{3z-1}{z+4} ni \frac{z-4}{z-4} marotabaga ko'paytirish. \frac{2}{z-4} ni \frac{z+4}{z+4} marotabaga ko'paytirish.
\frac{\left(3z-1\right)\left(z-4\right)-2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)}
\frac{\left(3z-1\right)\left(z-4\right)}{\left(z-4\right)\left(z+4\right)} va \frac{2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{3z^{2}-12z-z+4-2z-8}{\left(z-4\right)\left(z+4\right)}
\left(3z-1\right)\left(z-4\right)-2\left(z+4\right) ichidagi ko‘paytirishlarni bajaring.
\frac{3z^{2}-15z-4}{\left(z-4\right)\left(z+4\right)}
3z^{2}-12z-z+4-2z-8 kabi iboralarga o‘xshab birlashtiring.
\frac{3z^{2}-15z-4}{z^{2}-16}
\left(z-4\right)\left(z+4\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}