Baholash
\frac{3\left(x-6\right)}{x^{2}-4}
Kengaytirish
\frac{3\left(x-6\right)}{x^{2}-4}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{2\left(x-2\right)}{x-2}-\frac{x+1}{x-2}-\frac{x-4}{x+2}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 ni \frac{x-2}{x-2} marotabaga ko'paytirish.
\frac{2\left(x-2\right)-\left(x+1\right)}{x-2}-\frac{x-4}{x+2}
\frac{2\left(x-2\right)}{x-2} va \frac{x+1}{x-2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{2x-4-x-1}{x-2}-\frac{x-4}{x+2}
2\left(x-2\right)-\left(x+1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{x-5}{x-2}-\frac{x-4}{x+2}
2x-4-x-1 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(x-5\right)\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}-\frac{\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-2 va x+2 ning eng kichik umumiy karralisi \left(x-2\right)\left(x+2\right). \frac{x-5}{x-2} ni \frac{x+2}{x+2} marotabaga ko'paytirish. \frac{x-4}{x+2} ni \frac{x-2}{x-2} marotabaga ko'paytirish.
\frac{\left(x-5\right)\left(x+2\right)-\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}
\frac{\left(x-5\right)\left(x+2\right)}{\left(x-2\right)\left(x+2\right)} va \frac{\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+2\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{x^{2}+2x-5x-10-x^{2}+2x+4x-8}{\left(x-2\right)\left(x+2\right)}
\left(x-5\right)\left(x+2\right)-\left(x-4\right)\left(x-2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{3x-18}{\left(x-2\right)\left(x+2\right)}
x^{2}+2x-5x-10-x^{2}+2x+4x-8 kabi iboralarga o‘xshab birlashtiring.
\frac{3x-18}{x^{2}-4}
\left(x-2\right)\left(x+2\right) ni kengaytirish.
\frac{2\left(x-2\right)}{x-2}-\frac{x+1}{x-2}-\frac{x-4}{x+2}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 ni \frac{x-2}{x-2} marotabaga ko'paytirish.
\frac{2\left(x-2\right)-\left(x+1\right)}{x-2}-\frac{x-4}{x+2}
\frac{2\left(x-2\right)}{x-2} va \frac{x+1}{x-2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{2x-4-x-1}{x-2}-\frac{x-4}{x+2}
2\left(x-2\right)-\left(x+1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{x-5}{x-2}-\frac{x-4}{x+2}
2x-4-x-1 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(x-5\right)\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}-\frac{\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-2 va x+2 ning eng kichik umumiy karralisi \left(x-2\right)\left(x+2\right). \frac{x-5}{x-2} ni \frac{x+2}{x+2} marotabaga ko'paytirish. \frac{x-4}{x+2} ni \frac{x-2}{x-2} marotabaga ko'paytirish.
\frac{\left(x-5\right)\left(x+2\right)-\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}
\frac{\left(x-5\right)\left(x+2\right)}{\left(x-2\right)\left(x+2\right)} va \frac{\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+2\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{x^{2}+2x-5x-10-x^{2}+2x+4x-8}{\left(x-2\right)\left(x+2\right)}
\left(x-5\right)\left(x+2\right)-\left(x-4\right)\left(x-2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{3x-18}{\left(x-2\right)\left(x+2\right)}
x^{2}+2x-5x-10-x^{2}+2x+4x-8 kabi iboralarga o‘xshab birlashtiring.
\frac{3x-18}{x^{2}-4}
\left(x-2\right)\left(x+2\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}