Baholash
\frac{-6x^{6}+x-9}{\left(3-x\right)\left(x-1\right)}
x ga nisbatan hosilani topish
\frac{24x^{7}-120x^{6}+108x^{5}+x^{2}-18x+33}{\left(\left(x-3\right)\left(x-1\right)\right)^{2}}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{6x^{6}}{\left(x-3\right)\left(x-1\right)}-\frac{3}{3-x}-\frac{4}{x-1}
Faktor: x^{2}-4x+3.
\frac{6x^{6}}{\left(x-3\right)\left(x-1\right)}-\frac{3\left(-1\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)}-\frac{4}{x-1}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x-3\right)\left(x-1\right) va 3-x ning eng kichik umumiy karralisi \left(x-3\right)\left(x-1\right). \frac{3}{3-x} ni \frac{-\left(x-1\right)}{-\left(x-1\right)} marotabaga ko'paytirish.
\frac{6x^{6}-3\left(-1\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)}-\frac{4}{x-1}
\frac{6x^{6}}{\left(x-3\right)\left(x-1\right)} va \frac{3\left(-1\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{6x^{6}+3x-3}{\left(x-3\right)\left(x-1\right)}-\frac{4}{x-1}
6x^{6}-3\left(-1\right)\left(x-1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{6x^{6}+3x-3}{\left(x-3\right)\left(x-1\right)}-\frac{4\left(x-3\right)}{\left(x-3\right)\left(x-1\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x-3\right)\left(x-1\right) va x-1 ning eng kichik umumiy karralisi \left(x-3\right)\left(x-1\right). \frac{4}{x-1} ni \frac{x-3}{x-3} marotabaga ko'paytirish.
\frac{6x^{6}+3x-3-4\left(x-3\right)}{\left(x-3\right)\left(x-1\right)}
\frac{6x^{6}+3x-3}{\left(x-3\right)\left(x-1\right)} va \frac{4\left(x-3\right)}{\left(x-3\right)\left(x-1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{6x^{6}+3x-3-4x+12}{\left(x-3\right)\left(x-1\right)}
6x^{6}+3x-3-4\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-x+6x^{6}+9}{\left(x-3\right)\left(x-1\right)}
6x^{6}+3x-3-4x+12 kabi iboralarga o‘xshab birlashtiring.
\frac{-x+6x^{6}+9}{x^{2}-4x+3}
\left(x-3\right)\left(x-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}