Baholash
\frac{x-14}{2x-5}
Kengaytirish
\frac{x-14}{2x-5}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{1-2x}{\left(x-2\right)\left(2x-5\right)}+\frac{x-5}{x-2}-\frac{x+1}{2x-5}
Faktor: 2x^{2}-9x+10.
\frac{1-2x}{\left(x-2\right)\left(2x-5\right)}+\frac{\left(x-5\right)\left(2x-5\right)}{\left(x-2\right)\left(2x-5\right)}-\frac{x+1}{2x-5}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x-2\right)\left(2x-5\right) va x-2 ning eng kichik umumiy karralisi \left(x-2\right)\left(2x-5\right). \frac{x-5}{x-2} ni \frac{2x-5}{2x-5} marotabaga ko'paytirish.
\frac{1-2x+\left(x-5\right)\left(2x-5\right)}{\left(x-2\right)\left(2x-5\right)}-\frac{x+1}{2x-5}
\frac{1-2x}{\left(x-2\right)\left(2x-5\right)} va \frac{\left(x-5\right)\left(2x-5\right)}{\left(x-2\right)\left(2x-5\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{1-2x+2x^{2}-5x-10x+25}{\left(x-2\right)\left(2x-5\right)}-\frac{x+1}{2x-5}
1-2x+\left(x-5\right)\left(2x-5\right) ichidagi ko‘paytirishlarni bajaring.
\frac{26-17x+2x^{2}}{\left(x-2\right)\left(2x-5\right)}-\frac{x+1}{2x-5}
1-2x+2x^{2}-5x-10x+25 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(x-2\right)\left(2x-13\right)}{\left(x-2\right)\left(2x-5\right)}-\frac{x+1}{2x-5}
\frac{26-17x+2x^{2}}{\left(x-2\right)\left(2x-5\right)} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{2x-13}{2x-5}-\frac{x+1}{2x-5}
Surat va maxrajdagi ikkala x-2 ni qisqartiring.
\frac{2x-13-\left(x+1\right)}{2x-5}
\frac{2x-13}{2x-5} va \frac{x+1}{2x-5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{2x-13-x-1}{2x-5}
2x-13-\left(x+1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{x-14}{2x-5}
2x-13-x-1 kabi iboralarga o‘xshab birlashtiring.
\frac{1-2x}{\left(x-2\right)\left(2x-5\right)}+\frac{x-5}{x-2}-\frac{x+1}{2x-5}
Faktor: 2x^{2}-9x+10.
\frac{1-2x}{\left(x-2\right)\left(2x-5\right)}+\frac{\left(x-5\right)\left(2x-5\right)}{\left(x-2\right)\left(2x-5\right)}-\frac{x+1}{2x-5}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x-2\right)\left(2x-5\right) va x-2 ning eng kichik umumiy karralisi \left(x-2\right)\left(2x-5\right). \frac{x-5}{x-2} ni \frac{2x-5}{2x-5} marotabaga ko'paytirish.
\frac{1-2x+\left(x-5\right)\left(2x-5\right)}{\left(x-2\right)\left(2x-5\right)}-\frac{x+1}{2x-5}
\frac{1-2x}{\left(x-2\right)\left(2x-5\right)} va \frac{\left(x-5\right)\left(2x-5\right)}{\left(x-2\right)\left(2x-5\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{1-2x+2x^{2}-5x-10x+25}{\left(x-2\right)\left(2x-5\right)}-\frac{x+1}{2x-5}
1-2x+\left(x-5\right)\left(2x-5\right) ichidagi ko‘paytirishlarni bajaring.
\frac{26-17x+2x^{2}}{\left(x-2\right)\left(2x-5\right)}-\frac{x+1}{2x-5}
1-2x+2x^{2}-5x-10x+25 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(x-2\right)\left(2x-13\right)}{\left(x-2\right)\left(2x-5\right)}-\frac{x+1}{2x-5}
\frac{26-17x+2x^{2}}{\left(x-2\right)\left(2x-5\right)} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{2x-13}{2x-5}-\frac{x+1}{2x-5}
Surat va maxrajdagi ikkala x-2 ni qisqartiring.
\frac{2x-13-\left(x+1\right)}{2x-5}
\frac{2x-13}{2x-5} va \frac{x+1}{2x-5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{2x-13-x-1}{2x-5}
2x-13-\left(x+1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{x-14}{2x-5}
2x-13-x-1 kabi iboralarga o‘xshab birlashtiring.
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}