Baholash
\frac{2}{x-2}
Omil
\frac{2}{x-2}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{2}{x-5}-\frac{6}{\left(x-5\right)\left(x-2\right)}
Faktor: x^{2}-7x+10.
\frac{2\left(x-2\right)}{\left(x-5\right)\left(x-2\right)}-\frac{6}{\left(x-5\right)\left(x-2\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-5 va \left(x-5\right)\left(x-2\right) ning eng kichik umumiy karralisi \left(x-5\right)\left(x-2\right). \frac{2}{x-5} ni \frac{x-2}{x-2} marotabaga ko'paytirish.
\frac{2\left(x-2\right)-6}{\left(x-5\right)\left(x-2\right)}
\frac{2\left(x-2\right)}{\left(x-5\right)\left(x-2\right)} va \frac{6}{\left(x-5\right)\left(x-2\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{2x-4-6}{\left(x-5\right)\left(x-2\right)}
2\left(x-2\right)-6 ichidagi ko‘paytirishlarni bajaring.
\frac{2x-10}{\left(x-5\right)\left(x-2\right)}
2x-4-6 kabi iboralarga o‘xshab birlashtiring.
\frac{2\left(x-5\right)}{\left(x-5\right)\left(x-2\right)}
\frac{2x-10}{\left(x-5\right)\left(x-2\right)} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{2}{x-2}
Surat va maxrajdagi ikkala x-5 ni qisqartiring.
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}